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Finding the Fourth Proportional to 6,697.88, 10,032.68 and 5,374.46

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Solution

The fourth proportional to 6,697.88, 10,032.68 and 5,374.46 is: 8,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.88 : 10,032.68 = 5,374.46 : x
  2. Step 2: Convert to fraction form
    6,697.88/10,032.68 = 5,374.46/x
  3. Step 3: Cross multiply
    6,697.88x = 10,032.68 × 5,374.46
  4. Step 4: Simplify right side
    6,697.88x = 53,920,237.35
  5. Step 5: Solve for x
    x = 53,920,237.35/6,697.88
  6. Step 6: Final answer
    x = 8,050.34

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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.