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Finding the Fourth Proportional to 9,178.52, 12,660.72 and 8,002.40

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Solution

The fourth proportional to 9,178.52, 12,660.72 and 8,002.40 is: 11,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.52 : 12,660.72 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    9,178.52/12,660.72 = 8,002.40/x
  3. Step 3: Cross multiply
    9,178.52x = 12,660.72 × 8,002.40
  4. Step 4: Simplify right side
    9,178.52x = 101,316,145.73
  5. Step 5: Solve for x
    x = 101,316,145.73/9,178.52
  6. Step 6: Final answer
    x = 11,038.40

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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.