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Finding the Fourth Proportional to 10,478.61, 14,456.07 and 6,001.29

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Solution

The fourth proportional to 10,478.61, 14,456.07 and 6,001.29 is: 8,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.61 : 14,456.07 = 6,001.29 : x
  2. Step 2: Convert to fraction form
    10,478.61/14,456.07 = 6,001.29/x
  3. Step 3: Cross multiply
    10,478.61x = 14,456.07 × 6,001.29
  4. Step 4: Simplify right side
    10,478.61x = 86,755,068.33
  5. Step 5: Solve for x
    x = 86,755,068.33/10,478.61
  6. Step 6: Final answer
    x = 8,279.25

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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.