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Finding the Fourth Proportional to 7,807.20, 10,560.20 and 7,807.20

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Solution

The fourth proportional to 7,807.20, 10,560.20 and 7,807.20 is: 10,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.20 : 10,560.20 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    7,807.20/10,560.20 = 7,807.20/x
  3. Step 3: Cross multiply
    7,807.20x = 10,560.20 × 7,807.20
  4. Step 4: Simplify right side
    7,807.20x = 82,445,593.44
  5. Step 5: Solve for x
    x = 82,445,593.44/7,807.20
  6. Step 6: Final answer
    x = 10,560.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.