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Finding the Fourth Proportional to 10,663.16, 14,714.88 and 5,947.88

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Solution

The fourth proportional to 10,663.16, 14,714.88 and 5,947.88 is: 8,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.16 : 14,714.88 = 5,947.88 : x
  2. Step 2: Convert to fraction form
    10,663.16/14,714.88 = 5,947.88/x
  3. Step 3: Cross multiply
    10,663.16x = 14,714.88 × 5,947.88
  4. Step 4: Simplify right side
    10,663.16x = 87,522,340.45
  5. Step 5: Solve for x
    x = 87,522,340.45/10,663.16
  6. Step 6: Final answer
    x = 8,207.92

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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.