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Finding the Fourth Proportional to 7,705.65, 11,559.29 and 2,510.31

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Solution

The fourth proportional to 7,705.65, 11,559.29 and 2,510.31 is: 3,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.65 : 11,559.29 = 2,510.31 : x
  2. Step 2: Convert to fraction form
    7,705.65/11,559.29 = 2,510.31/x
  3. Step 3: Cross multiply
    7,705.65x = 11,559.29 × 2,510.31
  4. Step 4: Simplify right side
    7,705.65x = 29,017,388.73
  5. Step 5: Solve for x
    x = 29,017,388.73/7,705.65
  6. Step 6: Final answer
    x = 3,765.73

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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.