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Finding the Fourth Proportional to 12,817.71, 17,689.66 and 7,780.78

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Solution

The fourth proportional to 12,817.71, 17,689.66 and 7,780.78 is: 10,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.71 : 17,689.66 = 7,780.78 : x
  2. Step 2: Convert to fraction form
    12,817.71/17,689.66 = 7,780.78/x
  3. Step 3: Cross multiply
    12,817.71x = 17,689.66 × 7,780.78
  4. Step 4: Simplify right side
    12,817.71x = 137,639,264.29
  5. Step 5: Solve for x
    x = 137,639,264.29/12,817.71
  6. Step 6: Final answer
    x = 10,738.21

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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.