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Finding the Fourth Proportional to 11,877.12, 16,387.86 and 7,161.30

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Solution

The fourth proportional to 11,877.12, 16,387.86 and 7,161.30 is: 9,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.12 : 16,387.86 = 7,161.30 : x
  2. Step 2: Convert to fraction form
    11,877.12/16,387.86 = 7,161.30/x
  3. Step 3: Cross multiply
    11,877.12x = 16,387.86 × 7,161.30
  4. Step 4: Simplify right side
    11,877.12x = 117,358,381.82
  5. Step 5: Solve for x
    x = 117,358,381.82/11,877.12
  6. Step 6: Final answer
    x = 9,881.05

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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.