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Finding the Fourth Proportional to 8,110.90, 12,142.63 and 7,332.68

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Solution

The fourth proportional to 8,110.90, 12,142.63 and 7,332.68 is: 10,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.90 : 12,142.63 = 7,332.68 : x
  2. Step 2: Convert to fraction form
    8,110.90/12,142.63 = 7,332.68/x
  3. Step 3: Cross multiply
    8,110.90x = 12,142.63 × 7,332.68
  4. Step 4: Simplify right side
    8,110.90x = 89,038,020.15
  5. Step 5: Solve for x
    x = 89,038,020.15/8,110.90
  6. Step 6: Final answer
    x = 10,977.58

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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.