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Finding the Fourth Proportional to 7,656.72, 10,570.68 and 5,142.48

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Solution

The fourth proportional to 7,656.72, 10,570.68 and 5,142.48 is: 7,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.72 : 10,570.68 = 5,142.48 : x
  2. Step 2: Convert to fraction form
    7,656.72/10,570.68 = 5,142.48/x
  3. Step 3: Cross multiply
    7,656.72x = 10,570.68 × 5,142.48
  4. Step 4: Simplify right side
    7,656.72x = 54,359,510.49
  5. Step 5: Solve for x
    x = 54,359,510.49/7,656.72
  6. Step 6: Final answer
    x = 7,099.58

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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.