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Finding the Fourth Proportional to 7,740.96, 10,677.12 and 5,087.52

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Solution

The fourth proportional to 7,740.96, 10,677.12 and 5,087.52 is: 7,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.96 : 10,677.12 = 5,087.52 : x
  2. Step 2: Convert to fraction form
    7,740.96/10,677.12 = 5,087.52/x
  3. Step 3: Cross multiply
    7,740.96x = 10,677.12 × 5,087.52
  4. Step 4: Simplify right side
    7,740.96x = 54,320,061.54
  5. Step 5: Solve for x
    x = 54,320,061.54/7,740.96
  6. Step 6: Final answer
    x = 7,017.23

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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.