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Finding the Fourth Proportional to 7,565.83, 11,344.91 and 4,009.91

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Solution

The fourth proportional to 7,565.83, 11,344.91 and 4,009.91 is: 6,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.83 : 11,344.91 = 4,009.91 : x
  2. Step 2: Convert to fraction form
    7,565.83/11,344.91 = 4,009.91/x
  3. Step 3: Cross multiply
    7,565.83x = 11,344.91 × 4,009.91
  4. Step 4: Simplify right side
    7,565.83x = 45,491,991.28
  5. Step 5: Solve for x
    x = 45,491,991.28/7,565.83
  6. Step 6: Final answer
    x = 6,012.82

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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.