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Finding the Fourth Proportional to 10,262.44, 14,159.02 and 6,279.40

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Solution

The fourth proportional to 10,262.44, 14,159.02 and 6,279.40 is: 8,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.44 : 14,159.02 = 6,279.40 : x
  2. Step 2: Convert to fraction form
    10,262.44/14,159.02 = 6,279.40/x
  3. Step 3: Cross multiply
    10,262.44x = 14,159.02 × 6,279.40
  4. Step 4: Simplify right side
    10,262.44x = 88,910,150.19
  5. Step 5: Solve for x
    x = 88,910,150.19/10,262.44
  6. Step 6: Final answer
    x = 8,663.65

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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.