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Finding the Fourth Proportional to 7,509.96, 11,264.84 and 2,512.66

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Solution

The fourth proportional to 7,509.96, 11,264.84 and 2,512.66 is: 3,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.96 : 11,264.84 = 2,512.66 : x
  2. Step 2: Convert to fraction form
    7,509.96/11,264.84 = 2,512.66/x
  3. Step 3: Cross multiply
    7,509.96x = 11,264.84 × 2,512.66
  4. Step 4: Simplify right side
    7,509.96x = 28,304,712.87
  5. Step 5: Solve for x
    x = 28,304,712.87/7,509.96
  6. Step 6: Final answer
    x = 3,768.96

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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.