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Finding the Fourth Proportional to 11,690.16, 16,132.17 and 6,385

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Solution

The fourth proportional to 11,690.16, 16,132.17 and 6,385 is: 8,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.16 : 16,132.17 = 6,385 : x
  2. Step 2: Convert to fraction form
    11,690.16/16,132.17 = 6,385/x
  3. Step 3: Cross multiply
    11,690.16x = 16,132.17 × 6,385
  4. Step 4: Simplify right side
    11,690.16x = 103,003,905.45
  5. Step 5: Solve for x
    x = 103,003,905.45/11,690.16
  6. Step 6: Final answer
    x = 8,811.16

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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.