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Finding the Fourth Proportional to 8,942.88, 12,353.40 and 7,262.40

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Solution

The fourth proportional to 8,942.88, 12,353.40 and 7,262.40 is: 10,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.88 : 12,353.40 = 7,262.40 : x
  2. Step 2: Convert to fraction form
    8,942.88/12,353.40 = 7,262.40/x
  3. Step 3: Cross multiply
    8,942.88x = 12,353.40 × 7,262.40
  4. Step 4: Simplify right side
    8,942.88x = 89,715,332.16
  5. Step 5: Solve for x
    x = 89,715,332.16/8,942.88
  6. Step 6: Final answer
    x = 10,032.04

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1.5x scale

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.