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Finding the Fourth Proportional to 7,387.60, 11,081.40 and 6,532.24

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Solution

The fourth proportional to 7,387.60, 11,081.40 and 6,532.24 is: 9,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.60 : 11,081.40 = 6,532.24 : x
  2. Step 2: Convert to fraction form
    7,387.60/11,081.40 = 6,532.24/x
  3. Step 3: Cross multiply
    7,387.60x = 11,081.40 × 6,532.24
  4. Step 4: Simplify right side
    7,387.60x = 72,386,364.34
  5. Step 5: Solve for x
    x = 72,386,364.34/7,387.60
  6. Step 6: Final answer
    x = 9,798.36

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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.