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Finding the Fourth Proportional to 10,502.49, 14,493.45 and 5,722.41

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Solution

The fourth proportional to 10,502.49, 14,493.45 and 5,722.41 is: 7,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.49 : 14,493.45 = 5,722.41 : x
  2. Step 2: Convert to fraction form
    10,502.49/14,493.45 = 5,722.41/x
  3. Step 3: Cross multiply
    10,502.49x = 14,493.45 × 5,722.41
  4. Step 4: Simplify right side
    10,502.49x = 82,937,463.21
  5. Step 5: Solve for x
    x = 82,937,463.21/10,502.49
  6. Step 6: Final answer
    x = 7,896.93

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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.