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Finding the Fourth Proportional to 10,480.49, 14,458.97 and 6,001.83

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Solution

The fourth proportional to 10,480.49, 14,458.97 and 6,001.83 is: 8,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.49 : 14,458.97 = 6,001.83 : x
  2. Step 2: Convert to fraction form
    10,480.49/14,458.97 = 6,001.83/x
  3. Step 3: Cross multiply
    10,480.49x = 14,458.97 × 6,001.83
  4. Step 4: Simplify right side
    10,480.49x = 86,780,279.92
  5. Step 5: Solve for x
    x = 86,780,279.92/10,480.49
  6. Step 6: Final answer
    x = 8,280.17

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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.