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Finding the Fourth Proportional to 7,834.93, 10,812.42 and 4,298.20

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Solution

The fourth proportional to 7,834.93, 10,812.42 and 4,298.20 is: 5,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.93 : 10,812.42 = 4,298.20 : x
  2. Step 2: Convert to fraction form
    7,834.93/10,812.42 = 4,298.20/x
  3. Step 3: Cross multiply
    7,834.93x = 10,812.42 × 4,298.20
  4. Step 4: Simplify right side
    7,834.93x = 46,473,916.61
  5. Step 5: Solve for x
    x = 46,473,916.61/7,834.93
  6. Step 6: Final answer
    x = 5,931.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.