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Finding the Fourth Proportional to 10,264.42, 14,164.92 and 5,548.72

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Solution

The fourth proportional to 10,264.42, 14,164.92 and 5,548.72 is: 7,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.42 : 14,164.92 = 5,548.72 : x
  2. Step 2: Convert to fraction form
    10,264.42/14,164.92 = 5,548.72/x
  3. Step 3: Cross multiply
    10,264.42x = 14,164.92 × 5,548.72
  4. Step 4: Simplify right side
    10,264.42x = 78,597,174.90
  5. Step 5: Solve for x
    x = 78,597,174.90/10,264.42
  6. Step 6: Final answer
    x = 7,657.24

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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.