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Finding the Fourth Proportional to 10,158.05, 15,193.32 and 9,040.25

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Solution

The fourth proportional to 10,158.05, 15,193.32 and 9,040.25 is: 13,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.05 : 15,193.32 = 9,040.25 : x
  2. Step 2: Convert to fraction form
    10,158.05/15,193.32 = 9,040.25/x
  3. Step 3: Cross multiply
    10,158.05x = 15,193.32 × 9,040.25
  4. Step 4: Simplify right side
    10,158.05x = 137,351,411.13
  5. Step 5: Solve for x
    x = 137,351,411.13/10,158.05
  6. Step 6: Final answer
    x = 13,521.43

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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.