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Finding the Fourth Proportional to 10,721.84, 14,796.14 and 6,006.15

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Solution

The fourth proportional to 10,721.84, 14,796.14 and 6,006.15 is: 8,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.84 : 14,796.14 = 6,006.15 : x
  2. Step 2: Convert to fraction form
    10,721.84/14,796.14 = 6,006.15/x
  3. Step 3: Cross multiply
    10,721.84x = 14,796.14 × 6,006.15
  4. Step 4: Simplify right side
    10,721.84x = 88,867,806.23
  5. Step 5: Solve for x
    x = 88,867,806.23/10,721.84
  6. Step 6: Final answer
    x = 8,288.49

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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.