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Finding the Fourth Proportional to 11,502.60, 17,240.93 and 5,663.31

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Solution

The fourth proportional to 11,502.60, 17,240.93 and 5,663.31 is: 8,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.60 : 17,240.93 = 5,663.31 : x
  2. Step 2: Convert to fraction form
    11,502.60/17,240.93 = 5,663.31/x
  3. Step 3: Cross multiply
    11,502.60x = 17,240.93 × 5,663.31
  4. Step 4: Simplify right side
    11,502.60x = 97,640,731.28
  5. Step 5: Solve for x
    x = 97,640,731.28/11,502.60
  6. Step 6: Final answer
    x = 8,488.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.