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Finding the Fourth Proportional to 7,565.93, 11,344.98 and 3,402.38

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Solution

The fourth proportional to 7,565.93, 11,344.98 and 3,402.38 is: 5,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.93 : 11,344.98 = 3,402.38 : x
  2. Step 2: Convert to fraction form
    7,565.93/11,344.98 = 3,402.38/x
  3. Step 3: Cross multiply
    7,565.93x = 11,344.98 × 3,402.38
  4. Step 4: Simplify right side
    7,565.93x = 38,599,933.05
  5. Step 5: Solve for x
    x = 38,599,933.05/7,565.93
  6. Step 6: Final answer
    x = 5,101.81

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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.