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Finding the Fourth Proportional to 10,411.62, 14,358.29 and 8,294.19

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Solution

The fourth proportional to 10,411.62, 14,358.29 and 8,294.19 is: 11,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.62 : 14,358.29 = 8,294.19 : x
  2. Step 2: Convert to fraction form
    10,411.62/14,358.29 = 8,294.19/x
  3. Step 3: Cross multiply
    10,411.62x = 14,358.29 × 8,294.19
  4. Step 4: Simplify right side
    10,411.62x = 119,090,385.34
  5. Step 5: Solve for x
    x = 119,090,385.34/10,411.62
  6. Step 6: Final answer
    x = 11,438.22

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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.