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Finding the Fourth Proportional to 10,872.24, 15,003.40 and 7,146

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Solution

The fourth proportional to 10,872.24, 15,003.40 and 7,146 is: 9,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.24 : 15,003.40 = 7,146 : x
  2. Step 2: Convert to fraction form
    10,872.24/15,003.40 = 7,146/x
  3. Step 3: Cross multiply
    10,872.24x = 15,003.40 × 7,146
  4. Step 4: Simplify right side
    10,872.24x = 107,214,296.40
  5. Step 5: Solve for x
    x = 107,214,296.40/10,872.24
  6. Step 6: Final answer
    x = 9,861.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.