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Finding the Fourth Proportional to 7,871.13, 11,805.76 and 2,606.15

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Solution

The fourth proportional to 7,871.13, 11,805.76 and 2,606.15 is: 3,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.13 : 11,805.76 = 2,606.15 : x
  2. Step 2: Convert to fraction form
    7,871.13/11,805.76 = 2,606.15/x
  3. Step 3: Cross multiply
    7,871.13x = 11,805.76 × 2,606.15
  4. Step 4: Simplify right side
    7,871.13x = 30,767,581.42
  5. Step 5: Solve for x
    x = 30,767,581.42/7,871.13
  6. Step 6: Final answer
    x = 3,908.92

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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.