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Finding the Fourth Proportional to 7,657.60, 11,479.46 and 5,318.70

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Solution

The fourth proportional to 7,657.60, 11,479.46 and 5,318.70 is: 7,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.60 : 11,479.46 = 5,318.70 : x
  2. Step 2: Convert to fraction form
    7,657.60/11,479.46 = 5,318.70/x
  3. Step 3: Cross multiply
    7,657.60x = 11,479.46 × 5,318.70
  4. Step 4: Simplify right side
    7,657.60x = 61,055,777.31
  5. Step 5: Solve for x
    x = 61,055,777.31/7,657.60
  6. Step 6: Final answer
    x = 7,973.23

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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.