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Finding the Fourth Proportional to 7,284.39, 10,920.10 and 6,180.87

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Solution

The fourth proportional to 7,284.39, 10,920.10 and 6,180.87 is: 9,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.39 : 10,920.10 = 6,180.87 : x
  2. Step 2: Convert to fraction form
    7,284.39/10,920.10 = 6,180.87/x
  3. Step 3: Cross multiply
    7,284.39x = 10,920.10 × 6,180.87
  4. Step 4: Simplify right side
    7,284.39x = 67,495,718.49
  5. Step 5: Solve for x
    x = 67,495,718.49/7,284.39
  6. Step 6: Final answer
    x = 9,265.80

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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.