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Finding the Fourth Proportional to 10,271.48, 15,401.25 and 4,024.17

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Solution

The fourth proportional to 10,271.48, 15,401.25 and 4,024.17 is: 6,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.48 : 15,401.25 = 4,024.17 : x
  2. Step 2: Convert to fraction form
    10,271.48/15,401.25 = 4,024.17/x
  3. Step 3: Cross multiply
    10,271.48x = 15,401.25 × 4,024.17
  4. Step 4: Simplify right side
    10,271.48x = 61,977,248.21
  5. Step 5: Solve for x
    x = 61,977,248.21/10,271.48
  6. Step 6: Final answer
    x = 6,033.92

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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.