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Finding the Fourth Proportional to 10,052.24, 15,063.06 and 5,114.48

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Solution

The fourth proportional to 10,052.24, 15,063.06 and 5,114.48 is: 7,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.24 : 15,063.06 = 5,114.48 : x
  2. Step 2: Convert to fraction form
    10,052.24/15,063.06 = 5,114.48/x
  3. Step 3: Cross multiply
    10,052.24x = 15,063.06 × 5,114.48
  4. Step 4: Simplify right side
    10,052.24x = 77,039,719.11
  5. Step 5: Solve for x
    x = 77,039,719.11/10,052.24
  6. Step 6: Final answer
    x = 7,663.94

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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.