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Finding the Fourth Proportional to 7,565.74, 11,349.14 and 2,019.06

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Solution

The fourth proportional to 7,565.74, 11,349.14 and 2,019.06 is: 3,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.74 : 11,349.14 = 2,019.06 : x
  2. Step 2: Convert to fraction form
    7,565.74/11,349.14 = 2,019.06/x
  3. Step 3: Cross multiply
    7,565.74x = 11,349.14 × 2,019.06
  4. Step 4: Simplify right side
    7,565.74x = 22,914,594.61
  5. Step 5: Solve for x
    x = 22,914,594.61/7,565.74
  6. Step 6: Final answer
    x = 3,028.73

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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.