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Finding the Fourth Proportional to 10,138.04, 15,207.05 and 7,382.25

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Solution

The fourth proportional to 10,138.04, 15,207.05 and 7,382.25 is: 11,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.04 : 15,207.05 = 7,382.25 : x
  2. Step 2: Convert to fraction form
    10,138.04/15,207.05 = 7,382.25/x
  3. Step 3: Cross multiply
    10,138.04x = 15,207.05 × 7,382.25
  4. Step 4: Simplify right side
    10,138.04x = 112,262,187.28
  5. Step 5: Solve for x
    x = 112,262,187.28/10,138.04
  6. Step 6: Final answer
    x = 11,073.36

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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.