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Finding the Fourth Proportional to 10,475.65, 15,722.52 and 5,548.78

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Solution

The fourth proportional to 10,475.65, 15,722.52 and 5,548.78 is: 8,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.65 : 15,722.52 = 5,548.78 : x
  2. Step 2: Convert to fraction form
    10,475.65/15,722.52 = 5,548.78/x
  3. Step 3: Cross multiply
    10,475.65x = 15,722.52 × 5,548.78
  4. Step 4: Simplify right side
    10,475.65x = 87,240,804.53
  5. Step 5: Solve for x
    x = 87,240,804.53/10,475.65
  6. Step 6: Final answer
    x = 8,327.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.