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Finding the Fourth Proportional to 7,622.59, 11,430.13 and 3,178.92

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Solution

The fourth proportional to 7,622.59, 11,430.13 and 3,178.92 is: 4,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.59 : 11,430.13 = 3,178.92 : x
  2. Step 2: Convert to fraction form
    7,622.59/11,430.13 = 3,178.92/x
  3. Step 3: Cross multiply
    7,622.59x = 11,430.13 × 3,178.92
  4. Step 4: Simplify right side
    7,622.59x = 36,335,468.86
  5. Step 5: Solve for x
    x = 36,335,468.86/7,622.59
  6. Step 6: Final answer
    x = 4,766.81

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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.