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Finding the Fourth Proportional to 10,248.64, 15,376.84 and 4,013.11

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Solution

The fourth proportional to 10,248.64, 15,376.84 and 4,013.11 is: 6,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.64 : 15,376.84 = 4,013.11 : x
  2. Step 2: Convert to fraction form
    10,248.64/15,376.84 = 4,013.11/x
  3. Step 3: Cross multiply
    10,248.64x = 15,376.84 × 4,013.11
  4. Step 4: Simplify right side
    10,248.64x = 61,708,959.56
  5. Step 5: Solve for x
    x = 61,708,959.56/10,248.64
  6. Step 6: Final answer
    x = 6,021.18

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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.