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Finding the Fourth Proportional to 7,407.92, 11,113.61 and 2,142.72

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Solution

The fourth proportional to 7,407.92, 11,113.61 and 2,142.72 is: 3,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.92 : 11,113.61 = 2,142.72 : x
  2. Step 2: Convert to fraction form
    7,407.92/11,113.61 = 2,142.72/x
  3. Step 3: Cross multiply
    7,407.92x = 11,113.61 × 2,142.72
  4. Step 4: Simplify right side
    7,407.92x = 23,813,343.71
  5. Step 5: Solve for x
    x = 23,813,343.71/7,407.92
  6. Step 6: Final answer
    x = 3,214.58

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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.