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Finding the Fourth Proportional to 8,761.88, 12,088.50 and 5,779.20

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Solution

The fourth proportional to 8,761.88, 12,088.50 and 5,779.20 is: 7,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.88 : 12,088.50 = 5,779.20 : x
  2. Step 2: Convert to fraction form
    8,761.88/12,088.50 = 5,779.20/x
  3. Step 3: Cross multiply
    8,761.88x = 12,088.50 × 5,779.20
  4. Step 4: Simplify right side
    8,761.88x = 69,861,859.20
  5. Step 5: Solve for x
    x = 69,861,859.20/8,761.88
  6. Step 6: Final answer
    x = 7,973.39

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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.