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Finding the Fourth Proportional to 7,577.89, 10,462.16 and 4,891.47

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Solution

The fourth proportional to 7,577.89, 10,462.16 and 4,891.47 is: 6,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.89 : 10,462.16 = 4,891.47 : x
  2. Step 2: Convert to fraction form
    7,577.89/10,462.16 = 4,891.47/x
  3. Step 3: Cross multiply
    7,577.89x = 10,462.16 × 4,891.47
  4. Step 4: Simplify right side
    7,577.89x = 51,175,341.78
  5. Step 5: Solve for x
    x = 51,175,341.78/7,577.89
  6. Step 6: Final answer
    x = 6,753.24

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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.