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Finding the Fourth Proportional to 12,568.88, 17,345.76 and 6,903.92

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Solution

The fourth proportional to 12,568.88, 17,345.76 and 6,903.92 is: 9,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.88 : 17,345.76 = 6,903.92 : x
  2. Step 2: Convert to fraction form
    12,568.88/17,345.76 = 6,903.92/x
  3. Step 3: Cross multiply
    12,568.88x = 17,345.76 × 6,903.92
  4. Step 4: Simplify right side
    12,568.88x = 119,753,739.38
  5. Step 5: Solve for x
    x = 119,753,739.38/12,568.88
  6. Step 6: Final answer
    x = 9,527.80

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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.