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Finding the Fourth Proportional to 10,663.60, 14,714.92 and 5,947.60

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Solution

The fourth proportional to 10,663.60, 14,714.92 and 5,947.60 is: 8,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.60 : 14,714.92 = 5,947.60 : x
  2. Step 2: Convert to fraction form
    10,663.60/14,714.92 = 5,947.60/x
  3. Step 3: Cross multiply
    10,663.60x = 14,714.92 × 5,947.60
  4. Step 4: Simplify right side
    10,663.60x = 87,518,458.19
  5. Step 5: Solve for x
    x = 87,518,458.19/10,663.60
  6. Step 6: Final answer
    x = 8,207.22

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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.