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Finding the Fourth Proportional to 10,661.52, 14,714.04 and 5,947.44

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Solution

The fourth proportional to 10,661.52, 14,714.04 and 5,947.44 is: 8,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.52 : 14,714.04 = 5,947.44 : x
  2. Step 2: Convert to fraction form
    10,661.52/14,714.04 = 5,947.44/x
  3. Step 3: Cross multiply
    10,661.52x = 14,714.04 × 5,947.44
  4. Step 4: Simplify right side
    10,661.52x = 87,510,870.06
  5. Step 5: Solve for x
    x = 87,510,870.06/10,661.52
  6. Step 6: Final answer
    x = 8,208.10

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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.