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Finding the Fourth Proportional to 11,601.06, 16,002.18 and 6,882

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Solution

The fourth proportional to 11,601.06, 16,002.18 and 6,882 is: 9,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.06 : 16,002.18 = 6,882 : x
  2. Step 2: Convert to fraction form
    11,601.06/16,002.18 = 6,882/x
  3. Step 3: Cross multiply
    11,601.06x = 16,002.18 × 6,882
  4. Step 4: Simplify right side
    11,601.06x = 110,127,002.76
  5. Step 5: Solve for x
    x = 110,127,002.76/11,601.06
  6. Step 6: Final answer
    x = 9,492.84

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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.