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Finding the Fourth Proportional to 7,126.56, 10,695.31 and 6,760.70

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Solution

The fourth proportional to 7,126.56, 10,695.31 and 6,760.70 is: 10,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.56 : 10,695.31 = 6,760.70 : x
  2. Step 2: Convert to fraction form
    7,126.56/10,695.31 = 6,760.70/x
  3. Step 3: Cross multiply
    7,126.56x = 10,695.31 × 6,760.70
  4. Step 4: Simplify right side
    7,126.56x = 72,307,792.15
  5. Step 5: Solve for x
    x = 72,307,792.15/7,126.56
  6. Step 6: Final answer
    x = 10,146.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.