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Finding the Fourth Proportional to 10,671.71, 14,726.96 and 5,891.66

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Solution

The fourth proportional to 10,671.71, 14,726.96 and 5,891.66 is: 8,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.71 : 14,726.96 = 5,891.66 : x
  2. Step 2: Convert to fraction form
    10,671.71/14,726.96 = 5,891.66/x
  3. Step 3: Cross multiply
    10,671.71x = 14,726.96 × 5,891.66
  4. Step 4: Simplify right side
    10,671.71x = 86,766,138.06
  5. Step 5: Solve for x
    x = 86,766,138.06/10,671.71
  6. Step 6: Final answer
    x = 8,130.49

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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.