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Finding the Fourth Proportional to 7,731.90, 10,671.12 and 5,086.98

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Solution

The fourth proportional to 7,731.90, 10,671.12 and 5,086.98 is: 7,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.90 : 10,671.12 = 5,086.98 : x
  2. Step 2: Convert to fraction form
    7,731.90/10,671.12 = 5,086.98/x
  3. Step 3: Cross multiply
    7,731.90x = 10,671.12 × 5,086.98
  4. Step 4: Simplify right side
    7,731.90x = 54,283,774.02
  5. Step 5: Solve for x
    x = 54,283,774.02/7,731.90
  6. Step 6: Final answer
    x = 7,020.75

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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.