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Finding the Fourth Proportional to 10,755.20, 14,842.18 and 6,278.08

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Solution

The fourth proportional to 10,755.20, 14,842.18 and 6,278.08 is: 8,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.20 : 14,842.18 = 6,278.08 : x
  2. Step 2: Convert to fraction form
    10,755.20/14,842.18 = 6,278.08/x
  3. Step 3: Cross multiply
    10,755.20x = 14,842.18 × 6,278.08
  4. Step 4: Simplify right side
    10,755.20x = 93,180,393.41
  5. Step 5: Solve for x
    x = 93,180,393.41/10,755.20
  6. Step 6: Final answer
    x = 8,663.75

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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.