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Finding the Fourth Proportional to 10,349.97, 14,284.92 and 5,874.13

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Solution

The fourth proportional to 10,349.97, 14,284.92 and 5,874.13 is: 8,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.97 : 14,284.92 = 5,874.13 : x
  2. Step 2: Convert to fraction form
    10,349.97/14,284.92 = 5,874.13/x
  3. Step 3: Cross multiply
    10,349.97x = 14,284.92 × 5,874.13
  4. Step 4: Simplify right side
    10,349.97x = 83,911,477.12
  5. Step 5: Solve for x
    x = 83,911,477.12/10,349.97
  6. Step 6: Final answer
    x = 8,107.41

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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.