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Finding the Fourth Proportional to 11,411.68, 15,748.12 and 6,376.16

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Solution

The fourth proportional to 11,411.68, 15,748.12 and 6,376.16 is: 8,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.68 : 15,748.12 = 6,376.16 : x
  2. Step 2: Convert to fraction form
    11,411.68/15,748.12 = 6,376.16/x
  3. Step 3: Cross multiply
    11,411.68x = 15,748.12 × 6,376.16
  4. Step 4: Simplify right side
    11,411.68x = 100,412,532.82
  5. Step 5: Solve for x
    x = 100,412,532.82/11,411.68
  6. Step 6: Final answer
    x = 8,799.10

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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.