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Finding the Fourth Proportional to 7,155.92, 9,874.63 and 4,011.50

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Solution

The fourth proportional to 7,155.92, 9,874.63 and 4,011.50 is: 5,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.92 : 9,874.63 = 4,011.50 : x
  2. Step 2: Convert to fraction form
    7,155.92/9,874.63 = 4,011.50/x
  3. Step 3: Cross multiply
    7,155.92x = 9,874.63 × 4,011.50
  4. Step 4: Simplify right side
    7,155.92x = 39,612,078.25
  5. Step 5: Solve for x
    x = 39,612,078.25/7,155.92
  6. Step 6: Final answer
    x = 5,535.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.