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Finding the Fourth Proportional to 7,767.79, 10,713.76 and 4,932.72

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Solution

The fourth proportional to 7,767.79, 10,713.76 and 4,932.72 is: 6,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.79 : 10,713.76 = 4,932.72 : x
  2. Step 2: Convert to fraction form
    7,767.79/10,713.76 = 4,932.72/x
  3. Step 3: Cross multiply
    7,767.79x = 10,713.76 × 4,932.72
  4. Step 4: Simplify right side
    7,767.79x = 52,847,978.23
  5. Step 5: Solve for x
    x = 52,847,978.23/7,767.79
  6. Step 6: Final answer
    x = 6,803.48

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