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Finding the Fourth Proportional to 7,154.92, 9,873.78 and 4,011.16

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Solution

The fourth proportional to 7,154.92, 9,873.78 and 4,011.16 is: 5,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.92 : 9,873.78 = 4,011.16 : x
  2. Step 2: Convert to fraction form
    7,154.92/9,873.78 = 4,011.16/x
  3. Step 3: Cross multiply
    7,154.92x = 9,873.78 × 4,011.16
  4. Step 4: Simplify right side
    7,154.92x = 39,605,311.38
  5. Step 5: Solve for x
    x = 39,605,311.38/7,154.92
  6. Step 6: Final answer
    x = 5,535.40

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Why These Related Problems?

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