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Finding the Fourth Proportional to 7,705.76, 11,559.14 and 2,707.52

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Solution

The fourth proportional to 7,705.76, 11,559.14 and 2,707.52 is: 4,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 11,559.14 = 2,707.52 : x
  2. Step 2: Convert to fraction form
    7,705.76/11,559.14 = 2,707.52/x
  3. Step 3: Cross multiply
    7,705.76x = 11,559.14 × 2,707.52
  4. Step 4: Simplify right side
    7,705.76x = 31,296,621.80
  5. Step 5: Solve for x
    x = 31,296,621.80/7,705.76
  6. Step 6: Final answer
    x = 4,061.46

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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.