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Finding the Fourth Proportional to 11,886.68, 16,402.30 and 6,580.17

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Solution

The fourth proportional to 11,886.68, 16,402.30 and 6,580.17 is: 9,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.68 : 16,402.30 = 6,580.17 : x
  2. Step 2: Convert to fraction form
    11,886.68/16,402.30 = 6,580.17/x
  3. Step 3: Cross multiply
    11,886.68x = 16,402.30 × 6,580.17
  4. Step 4: Simplify right side
    11,886.68x = 107,929,905.94
  5. Step 5: Solve for x
    x = 107,929,905.94/11,886.68
  6. Step 6: Final answer
    x = 9,079.90

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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.