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Finding the Fourth Proportional to 7,202.88, 10,807.68 and 7,086.40

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Solution

The fourth proportional to 7,202.88, 10,807.68 and 7,086.40 is: 10,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.88 : 10,807.68 = 7,086.40 : x
  2. Step 2: Convert to fraction form
    7,202.88/10,807.68 = 7,086.40/x
  3. Step 3: Cross multiply
    7,202.88x = 10,807.68 × 7,086.40
  4. Step 4: Simplify right side
    7,202.88x = 76,587,543.55
  5. Step 5: Solve for x
    x = 76,587,543.55/7,202.88
  6. Step 6: Final answer
    x = 10,632.91

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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.