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Finding the Fourth Proportional to 10,502.40, 14,488.80 and 6,522.24

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Solution

The fourth proportional to 10,502.40, 14,488.80 and 6,522.24 is: 8,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.40 : 14,488.80 = 6,522.24 : x
  2. Step 2: Convert to fraction form
    10,502.40/14,488.80 = 6,522.24/x
  3. Step 3: Cross multiply
    10,502.40x = 14,488.80 × 6,522.24
  4. Step 4: Simplify right side
    10,502.40x = 94,499,430.91
  5. Step 5: Solve for x
    x = 94,499,430.91/10,502.40
  6. Step 6: Final answer
    x = 8,997.89

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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.