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Finding the Fourth Proportional to 8,507.60, 11,737.56 and 5,318.72

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Solution

The fourth proportional to 8,507.60, 11,737.56 and 5,318.72 is: 7,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.60 : 11,737.56 = 5,318.72 : x
  2. Step 2: Convert to fraction form
    8,507.60/11,737.56 = 5,318.72/x
  3. Step 3: Cross multiply
    8,507.60x = 11,737.56 × 5,318.72
  4. Step 4: Simplify right side
    8,507.60x = 62,428,795.12
  5. Step 5: Solve for x
    x = 62,428,795.12/8,507.60
  6. Step 6: Final answer
    x = 7,338.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.