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Finding the Fourth Proportional to 7,691.64, 11,532.51 and 5,056.08

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Solution

The fourth proportional to 7,691.64, 11,532.51 and 5,056.08 is: 7,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.64 : 11,532.51 = 5,056.08 : x
  2. Step 2: Convert to fraction form
    7,691.64/11,532.51 = 5,056.08/x
  3. Step 3: Cross multiply
    7,691.64x = 11,532.51 × 5,056.08
  4. Step 4: Simplify right side
    7,691.64x = 58,309,293.16
  5. Step 5: Solve for x
    x = 58,309,293.16/7,691.64
  6. Step 6: Final answer
    x = 7,580.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.