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Finding the Fourth Proportional to 11,627.98, 16,048.92 and 6,592.30

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Solution

The fourth proportional to 11,627.98, 16,048.92 and 6,592.30 is: 9,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.98 : 16,048.92 = 6,592.30 : x
  2. Step 2: Convert to fraction form
    11,627.98/16,048.92 = 6,592.30/x
  3. Step 3: Cross multiply
    11,627.98x = 16,048.92 × 6,592.30
  4. Step 4: Simplify right side
    11,627.98x = 105,799,295.32
  5. Step 5: Solve for x
    x = 105,799,295.32/11,627.98
  6. Step 6: Final answer
    x = 9,098.68

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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.