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Finding the Fourth Proportional to 11,438.53, 15,776.25 and 7,660.48

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Solution

The fourth proportional to 11,438.53, 15,776.25 and 7,660.48 is: 10,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.53 : 15,776.25 = 7,660.48 : x
  2. Step 2: Convert to fraction form
    11,438.53/15,776.25 = 7,660.48/x
  3. Step 3: Cross multiply
    11,438.53x = 15,776.25 × 7,660.48
  4. Step 4: Simplify right side
    11,438.53x = 120,853,647.60
  5. Step 5: Solve for x
    x = 120,853,647.60/11,438.53
  6. Step 6: Final answer
    x = 10,565.49

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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.