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Finding the Fourth Proportional to 10,002.71, 13,805.70 and 5,967.51

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Solution

The fourth proportional to 10,002.71, 13,805.70 and 5,967.51 is: 8,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.71 : 13,805.70 = 5,967.51 : x
  2. Step 2: Convert to fraction form
    10,002.71/13,805.70 = 5,967.51/x
  3. Step 3: Cross multiply
    10,002.71x = 13,805.70 × 5,967.51
  4. Step 4: Simplify right side
    10,002.71x = 82,385,726.96
  5. Step 5: Solve for x
    x = 82,385,726.96/10,002.71
  6. Step 6: Final answer
    x = 8,236.34

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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.