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Finding the Fourth Proportional to 7,115.60, 9,942.40 and 7,115.60

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Solution

The fourth proportional to 7,115.60, 9,942.40 and 7,115.60 is: 9,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.60 : 9,942.40 = 7,115.60 : x
  2. Step 2: Convert to fraction form
    7,115.60/9,942.40 = 7,115.60/x
  3. Step 3: Cross multiply
    7,115.60x = 9,942.40 × 7,115.60
  4. Step 4: Simplify right side
    7,115.60x = 70,746,141.44
  5. Step 5: Solve for x
    x = 70,746,141.44/7,115.60
  6. Step 6: Final answer
    x = 9,942.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.