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Finding the Fourth Proportional to 11,886.66, 16,402.38 and 6,580.08

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Solution

The fourth proportional to 11,886.66, 16,402.38 and 6,580.08 is: 9,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.66 : 16,402.38 = 6,580.08 : x
  2. Step 2: Convert to fraction form
    11,886.66/16,402.38 = 6,580.08/x
  3. Step 3: Cross multiply
    11,886.66x = 16,402.38 × 6,580.08
  4. Step 4: Simplify right side
    11,886.66x = 107,928,972.59
  5. Step 5: Solve for x
    x = 107,928,972.59/11,886.66
  6. Step 6: Final answer
    x = 9,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.