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Finding the Fourth Proportional to 7,705.98, 11,565.52 and 3,029.26

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Solution

The fourth proportional to 7,705.98, 11,565.52 and 3,029.26 is: 4,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.98 : 11,565.52 = 3,029.26 : x
  2. Step 2: Convert to fraction form
    7,705.98/11,565.52 = 3,029.26/x
  3. Step 3: Cross multiply
    7,705.98x = 11,565.52 × 3,029.26
  4. Step 4: Simplify right side
    7,705.98x = 35,034,951.97
  5. Step 5: Solve for x
    x = 35,034,951.97/7,705.98
  6. Step 6: Final answer
    x = 4,546.47

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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.