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Finding the Fourth Proportional to 11,655.87, 16,080 and 7,877.67

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Solution

The fourth proportional to 11,655.87, 16,080 and 7,877.67 is: 10,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.87 : 16,080 = 7,877.67 : x
  2. Step 2: Convert to fraction form
    11,655.87/16,080 = 7,877.67/x
  3. Step 3: Cross multiply
    11,655.87x = 16,080 × 7,877.67
  4. Step 4: Simplify right side
    11,655.87x = 126,672,933.60
  5. Step 5: Solve for x
    x = 126,672,933.60/11,655.87
  6. Step 6: Final answer
    x = 10,867.74

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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.