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Finding the Fourth Proportional to 10,767.84, 16,154.64 and 3,842.72

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Solution

The fourth proportional to 10,767.84, 16,154.64 and 3,842.72 is: 5,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.84 : 16,154.64 = 3,842.72 : x
  2. Step 2: Convert to fraction form
    10,767.84/16,154.64 = 3,842.72/x
  3. Step 3: Cross multiply
    10,767.84x = 16,154.64 × 3,842.72
  4. Step 4: Simplify right side
    10,767.84x = 62,077,758.22
  5. Step 5: Solve for x
    x = 62,077,758.22/10,767.84
  6. Step 6: Final answer
    x = 5,765.11

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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.