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Finding the Fourth Proportional to 7,731.96, 10,672.08 and 4,901.02

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Solution

The fourth proportional to 7,731.96, 10,672.08 and 4,901.02 is: 6,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.96 : 10,672.08 = 4,901.02 : x
  2. Step 2: Convert to fraction form
    7,731.96/10,672.08 = 4,901.02/x
  3. Step 3: Cross multiply
    7,731.96x = 10,672.08 × 4,901.02
  4. Step 4: Simplify right side
    7,731.96x = 52,304,077.52
  5. Step 5: Solve for x
    x = 52,304,077.52/7,731.96
  6. Step 6: Final answer
    x = 6,764.66

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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.