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Finding the Fourth Proportional to 10,494.42, 15,721.08 and 5,557.26

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Solution

The fourth proportional to 10,494.42, 15,721.08 and 5,557.26 is: 8,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.42 : 15,721.08 = 5,557.26 : x
  2. Step 2: Convert to fraction form
    10,494.42/15,721.08 = 5,557.26/x
  3. Step 3: Cross multiply
    10,494.42x = 15,721.08 × 5,557.26
  4. Step 4: Simplify right side
    10,494.42x = 87,366,129.04
  5. Step 5: Solve for x
    x = 87,366,129.04/10,494.42
  6. Step 6: Final answer
    x = 8,325.01

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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.