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Finding the Fourth Proportional to 6,695.85, 10,032.84 and 4,744.56

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Solution

The fourth proportional to 6,695.85, 10,032.84 and 4,744.56 is: 7,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.85 : 10,032.84 = 4,744.56 : x
  2. Step 2: Convert to fraction form
    6,695.85/10,032.84 = 4,744.56/x
  3. Step 3: Cross multiply
    6,695.85x = 10,032.84 × 4,744.56
  4. Step 4: Simplify right side
    6,695.85x = 47,601,411.35
  5. Step 5: Solve for x
    x = 47,601,411.35/6,695.85
  6. Step 6: Final answer
    x = 7,109.09

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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.