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Finding the Fourth Proportional to 10,344.25, 15,526.09 and 5,417.42

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Solution

The fourth proportional to 10,344.25, 15,526.09 and 5,417.42 is: 8,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.25 : 15,526.09 = 5,417.42 : x
  2. Step 2: Convert to fraction form
    10,344.25/15,526.09 = 5,417.42/x
  3. Step 3: Cross multiply
    10,344.25x = 15,526.09 × 5,417.42
  4. Step 4: Simplify right side
    10,344.25x = 84,111,350.49
  5. Step 5: Solve for x
    x = 84,111,350.49/10,344.25
  6. Step 6: Final answer
    x = 8,131.22

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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.