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Finding the Fourth Proportional to 10,721.71, 14,795.89 and 6,006

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Solution

The fourth proportional to 10,721.71, 14,795.89 and 6,006 is: 8,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.71 : 14,795.89 = 6,006 : x
  2. Step 2: Convert to fraction form
    10,721.71/14,795.89 = 6,006/x
  3. Step 3: Cross multiply
    10,721.71x = 14,795.89 × 6,006
  4. Step 4: Simplify right side
    10,721.71x = 88,864,115.34
  5. Step 5: Solve for x
    x = 88,864,115.34/10,721.71
  6. Step 6: Final answer
    x = 8,288.24

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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.