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Finding the Fourth Proportional to 7,041.38, 10,565.71 and 3,578.63

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Solution

The fourth proportional to 7,041.38, 10,565.71 and 3,578.63 is: 5,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.38 : 10,565.71 = 3,578.63 : x
  2. Step 2: Convert to fraction form
    7,041.38/10,565.71 = 3,578.63/x
  3. Step 3: Cross multiply
    7,041.38x = 10,565.71 × 3,578.63
  4. Step 4: Simplify right side
    7,041.38x = 37,810,705.00
  5. Step 5: Solve for x
    x = 37,810,705.00/7,041.38
  6. Step 6: Final answer
    x = 5,369.79

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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.