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Finding the Fourth Proportional to 7,627.10, 10,484.92 and 6,560.96

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Solution

The fourth proportional to 7,627.10, 10,484.92 and 6,560.96 is: 9,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.10 : 10,484.92 = 6,560.96 : x
  2. Step 2: Convert to fraction form
    7,627.10/10,484.92 = 6,560.96/x
  3. Step 3: Cross multiply
    7,627.10x = 10,484.92 × 6,560.96
  4. Step 4: Simplify right side
    7,627.10x = 68,791,140.72
  5. Step 5: Solve for x
    x = 68,791,140.72/7,627.10
  6. Step 6: Final answer
    x = 9,019.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.