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Finding the Fourth Proportional to 11,348.20, 15,660.82 and 6,871

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Solution

The fourth proportional to 11,348.20, 15,660.82 and 6,871 is: 9,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.20 : 15,660.82 = 6,871 : x
  2. Step 2: Convert to fraction form
    11,348.20/15,660.82 = 6,871/x
  3. Step 3: Cross multiply
    11,348.20x = 15,660.82 × 6,871
  4. Step 4: Simplify right side
    11,348.20x = 107,605,494.22
  5. Step 5: Solve for x
    x = 107,605,494.22/11,348.20
  6. Step 6: Final answer
    x = 9,482.16

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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.