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Finding the Fourth Proportional to 10,577.30, 15,866.76 and 2,786

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Solution

The fourth proportional to 10,577.30, 15,866.76 and 2,786 is: 4,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.30 : 15,866.76 = 2,786 : x
  2. Step 2: Convert to fraction form
    10,577.30/15,866.76 = 2,786/x
  3. Step 3: Cross multiply
    10,577.30x = 15,866.76 × 2,786
  4. Step 4: Simplify right side
    10,577.30x = 44,204,793.36
  5. Step 5: Solve for x
    x = 44,204,793.36/10,577.30
  6. Step 6: Final answer
    x = 4,179.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.