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Finding the Fourth Proportional to 7,915.50, 11,865.51 and 6,437.76

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Solution

The fourth proportional to 7,915.50, 11,865.51 and 6,437.76 is: 9,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.50 : 11,865.51 = 6,437.76 : x
  2. Step 2: Convert to fraction form
    7,915.50/11,865.51 = 6,437.76/x
  3. Step 3: Cross multiply
    7,915.50x = 11,865.51 × 6,437.76
  4. Step 4: Simplify right side
    7,915.50x = 76,387,305.66
  5. Step 5: Solve for x
    x = 76,387,305.66/7,915.50
  6. Step 6: Final answer
    x = 9,650.34

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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.