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Finding the Fourth Proportional to 10,271.34, 15,398.10 and 6,367.14

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Solution

The fourth proportional to 10,271.34, 15,398.10 and 6,367.14 is: 9,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.34 : 15,398.10 = 6,367.14 : x
  2. Step 2: Convert to fraction form
    10,271.34/15,398.10 = 6,367.14/x
  3. Step 3: Cross multiply
    10,271.34x = 15,398.10 × 6,367.14
  4. Step 4: Simplify right side
    10,271.34x = 98,041,858.43
  5. Step 5: Solve for x
    x = 98,041,858.43/10,271.34
  6. Step 6: Final answer
    x = 9,545.19

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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.