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Finding the Fourth Proportional to 10,697,781.81, 16,046,082.07 and 7,822,095.51

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Solution

The fourth proportional to 10,697,781.81, 16,046,082.07 and 7,822,095.51 is: 11,732,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697,781.81 : 16,046,082.07 = 7,822,095.51 : x
  2. Step 2: Convert to fraction form
    10,697,781.81/16,046,082.07 = 7,822,095.51/x
  3. Step 3: Cross multiply
    10,697,781.81x = 16,046,082.07 × 7,822,095.51
  4. Step 4: Simplify right side
    10,697,781.81x = 125,513,986,512,838.50
  5. Step 5: Solve for x
    x = 125,513,986,512,838.50/10,697,781.81
  6. Step 6: Final answer
    x = 11,732,711.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.