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Finding the Fourth Proportional to 10,269.99, 15,402.42 and 2,872.53

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Solution

The fourth proportional to 10,269.99, 15,402.42 and 2,872.53 is: 4,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.99 : 15,402.42 = 2,872.53 : x
  2. Step 2: Convert to fraction form
    10,269.99/15,402.42 = 2,872.53/x
  3. Step 3: Cross multiply
    10,269.99x = 15,402.42 × 2,872.53
  4. Step 4: Simplify right side
    10,269.99x = 44,243,913.52
  5. Step 5: Solve for x
    x = 44,243,913.52/10,269.99
  6. Step 6: Final answer
    x = 4,308.08

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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.