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Finding the Fourth Proportional to 10,296.10, 15,444.12 and 4,144.42

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Solution

The fourth proportional to 10,296.10, 15,444.12 and 4,144.42 is: 6,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.10 : 15,444.12 = 4,144.42 : x
  2. Step 2: Convert to fraction form
    10,296.10/15,444.12 = 4,144.42/x
  3. Step 3: Cross multiply
    10,296.10x = 15,444.12 × 4,144.42
  4. Step 4: Simplify right side
    10,296.10x = 64,006,919.81
  5. Step 5: Solve for x
    x = 64,006,919.81/10,296.10
  6. Step 6: Final answer
    x = 6,216.62

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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.