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Finding the Fourth Proportional to 7,860.80, 10,838.40 and 5,761.28

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Solution

The fourth proportional to 7,860.80, 10,838.40 and 5,761.28 is: 7,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.80 : 10,838.40 = 5,761.28 : x
  2. Step 2: Convert to fraction form
    7,860.80/10,838.40 = 5,761.28/x
  3. Step 3: Cross multiply
    7,860.80x = 10,838.40 × 5,761.28
  4. Step 4: Simplify right side
    7,860.80x = 62,443,057.15
  5. Step 5: Solve for x
    x = 62,443,057.15/7,860.80
  6. Step 6: Final answer
    x = 7,943.60

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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.