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Finding the Fourth Proportional to 6,611.60, 9,909.40 and 4,531.60

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Solution

The fourth proportional to 6,611.60, 9,909.40 and 4,531.60 is: 6,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.60 : 9,909.40 = 4,531.60 : x
  2. Step 2: Convert to fraction form
    6,611.60/9,909.40 = 4,531.60/x
  3. Step 3: Cross multiply
    6,611.60x = 9,909.40 × 4,531.60
  4. Step 4: Simplify right side
    6,611.60x = 44,905,437.04
  5. Step 5: Solve for x
    x = 44,905,437.04/6,611.60
  6. Step 6: Final answer
    x = 6,791.92

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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.