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Finding the Fourth Proportional to 10,639.40, 15,953.73 and 6,198.53

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Solution

The fourth proportional to 10,639.40, 15,953.73 and 6,198.53 is: 9,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.40 : 15,953.73 = 6,198.53 : x
  2. Step 2: Convert to fraction form
    10,639.40/15,953.73 = 6,198.53/x
  3. Step 3: Cross multiply
    10,639.40x = 15,953.73 × 6,198.53
  4. Step 4: Simplify right side
    10,639.40x = 98,889,594.25
  5. Step 5: Solve for x
    x = 98,889,594.25/10,639.40
  6. Step 6: Final answer
    x = 9,294.66

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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.