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Finding the Fourth Proportional to 6,695.32, 10,043.04 and 1,765.66

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Solution

The fourth proportional to 6,695.32, 10,043.04 and 1,765.66 is: 2,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.32 : 10,043.04 = 1,765.66 : x
  2. Step 2: Convert to fraction form
    6,695.32/10,043.04 = 1,765.66/x
  3. Step 3: Cross multiply
    6,695.32x = 10,043.04 × 1,765.66
  4. Step 4: Simplify right side
    6,695.32x = 17,732,594.01
  5. Step 5: Solve for x
    x = 17,732,594.01/6,695.32
  6. Step 6: Final answer
    x = 2,648.51

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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.