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Finding the Fourth Proportional to 10,502.22, 14,493.02 and 5,721.81

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Solution

The fourth proportional to 10,502.22, 14,493.02 and 5,721.81 is: 7,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.22 : 14,493.02 = 5,721.81 : x
  2. Step 2: Convert to fraction form
    10,502.22/14,493.02 = 5,721.81/x
  3. Step 3: Cross multiply
    10,502.22x = 14,493.02 × 5,721.81
  4. Step 4: Simplify right side
    10,502.22x = 82,926,278.16
  5. Step 5: Solve for x
    x = 82,926,278.16/10,502.22
  6. Step 6: Final answer
    x = 7,896.07

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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.