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Finding the Fourth Proportional to 11,475.40, 15,834.75 and 6,438.57

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Solution

The fourth proportional to 11,475.40, 15,834.75 and 6,438.57 is: 8,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.40 : 15,834.75 = 6,438.57 : x
  2. Step 2: Convert to fraction form
    11,475.40/15,834.75 = 6,438.57/x
  3. Step 3: Cross multiply
    11,475.40x = 15,834.75 × 6,438.57
  4. Step 4: Simplify right side
    11,475.40x = 101,953,146.31
  5. Step 5: Solve for x
    x = 101,953,146.31/11,475.40
  6. Step 6: Final answer
    x = 8,884.50

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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.