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Finding the Fourth Proportional to 11,602.74, 16,010.82 and 6,566.70

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Solution

The fourth proportional to 11,602.74, 16,010.82 and 6,566.70 is: 9,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.74 : 16,010.82 = 6,566.70 : x
  2. Step 2: Convert to fraction form
    11,602.74/16,010.82 = 6,566.70/x
  3. Step 3: Cross multiply
    11,602.74x = 16,010.82 × 6,566.70
  4. Step 4: Simplify right side
    11,602.74x = 105,138,251.69
  5. Step 5: Solve for x
    x = 105,138,251.69/11,602.74
  6. Step 6: Final answer
    x = 9,061.50

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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.