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Finding the Fourth Proportional to 7,767.60, 10,713.50 and 4,932.52

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Solution

The fourth proportional to 7,767.60, 10,713.50 and 4,932.52 is: 6,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.60 : 10,713.50 = 4,932.52 : x
  2. Step 2: Convert to fraction form
    7,767.60/10,713.50 = 4,932.52/x
  3. Step 3: Cross multiply
    7,767.60x = 10,713.50 × 4,932.52
  4. Step 4: Simplify right side
    7,767.60x = 52,844,553.02
  5. Step 5: Solve for x
    x = 52,844,553.02/7,767.60
  6. Step 6: Final answer
    x = 6,803.20

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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.