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Finding the Fourth Proportional to 10,502.43, 14,493.22 and 5,722.57

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Solution

The fourth proportional to 10,502.43, 14,493.22 and 5,722.57 is: 7,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.43 : 14,493.22 = 5,722.57 : x
  2. Step 2: Convert to fraction form
    10,502.43/14,493.22 = 5,722.57/x
  3. Step 3: Cross multiply
    10,502.43x = 14,493.22 × 5,722.57
  4. Step 4: Simplify right side
    10,502.43x = 82,938,538.71
  5. Step 5: Solve for x
    x = 82,938,538.71/10,502.43
  6. Step 6: Final answer
    x = 7,897.08

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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.