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Finding the Fourth Proportional to 7,708.33, 11,565.09 and 2,444.20

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Solution

The fourth proportional to 7,708.33, 11,565.09 and 2,444.20 is: 3,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.33 : 11,565.09 = 2,444.20 : x
  2. Step 2: Convert to fraction form
    7,708.33/11,565.09 = 2,444.20/x
  3. Step 3: Cross multiply
    7,708.33x = 11,565.09 × 2,444.20
  4. Step 4: Simplify right side
    7,708.33x = 28,267,392.98
  5. Step 5: Solve for x
    x = 28,267,392.98/7,708.33
  6. Step 6: Final answer
    x = 3,667.12

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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.