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Finding the Fourth Proportional to 10,697.43, 14,760.84 and 6,098.25

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Solution

The fourth proportional to 10,697.43, 14,760.84 and 6,098.25 is: 8,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.43 : 14,760.84 = 6,098.25 : x
  2. Step 2: Convert to fraction form
    10,697.43/14,760.84 = 6,098.25/x
  3. Step 3: Cross multiply
    10,697.43x = 14,760.84 × 6,098.25
  4. Step 4: Simplify right side
    10,697.43x = 90,015,292.53
  5. Step 5: Solve for x
    x = 90,015,292.53/10,697.43
  6. Step 6: Final answer
    x = 8,414.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.