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Finding the Fourth Proportional to 12,678.28, 17,502.92 and 7,643.40

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Solution

The fourth proportional to 12,678.28, 17,502.92 and 7,643.40 is: 10,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.28 : 17,502.92 = 7,643.40 : x
  2. Step 2: Convert to fraction form
    12,678.28/17,502.92 = 7,643.40/x
  3. Step 3: Cross multiply
    12,678.28x = 17,502.92 × 7,643.40
  4. Step 4: Simplify right side
    12,678.28x = 133,781,818.73
  5. Step 5: Solve for x
    x = 133,781,818.73/12,678.28
  6. Step 6: Final answer
    x = 10,552.05

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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.