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Finding the Fourth Proportional to 7,834.91, 10,812.17 and 4,298.13

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Solution

The fourth proportional to 7,834.91, 10,812.17 and 4,298.13 is: 5,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.91 : 10,812.17 = 4,298.13 : x
  2. Step 2: Convert to fraction form
    7,834.91/10,812.17 = 4,298.13/x
  3. Step 3: Cross multiply
    7,834.91x = 10,812.17 × 4,298.13
  4. Step 4: Simplify right side
    7,834.91x = 46,472,058.18
  5. Step 5: Solve for x
    x = 46,472,058.18/7,834.91
  6. Step 6: Final answer
    x = 5,931.41

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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.