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Finding the Fourth Proportional to 11,963.16, 16,508.88 and 6,657.86

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Solution

The fourth proportional to 11,963.16, 16,508.88 and 6,657.86 is: 9,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.16 : 16,508.88 = 6,657.86 : x
  2. Step 2: Convert to fraction form
    11,963.16/16,508.88 = 6,657.86/x
  3. Step 3: Cross multiply
    11,963.16x = 16,508.88 × 6,657.86
  4. Step 4: Simplify right side
    11,963.16x = 109,913,853.07
  5. Step 5: Solve for x
    x = 109,913,853.07/11,963.16
  6. Step 6: Final answer
    x = 9,187.69

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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.