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Finding the Fourth Proportional to 10,267.40, 15,402.76 and 4,024.03

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Solution

The fourth proportional to 10,267.40, 15,402.76 and 4,024.03 is: 6,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.40 : 15,402.76 = 4,024.03 : x
  2. Step 2: Convert to fraction form
    10,267.40/15,402.76 = 4,024.03/x
  3. Step 3: Cross multiply
    10,267.40x = 15,402.76 × 4,024.03
  4. Step 4: Simplify right side
    10,267.40x = 61,981,081.25
  5. Step 5: Solve for x
    x = 61,981,081.25/10,267.40
  6. Step 6: Final answer
    x = 6,036.69

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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.