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Finding the Fourth Proportional to 10,397.99, 14,349.42 and 5,682.17

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Solution

The fourth proportional to 10,397.99, 14,349.42 and 5,682.17 is: 7,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.99 : 14,349.42 = 5,682.17 : x
  2. Step 2: Convert to fraction form
    10,397.99/14,349.42 = 5,682.17/x
  3. Step 3: Cross multiply
    10,397.99x = 14,349.42 × 5,682.17
  4. Step 4: Simplify right side
    10,397.99x = 81,535,843.84
  5. Step 5: Solve for x
    x = 81,535,843.84/10,397.99
  6. Step 6: Final answer
    x = 7,841.50

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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.