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Finding the Fourth Proportional to 7,132.84, 10,698.18 and 2,749.66

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Solution

The fourth proportional to 7,132.84, 10,698.18 and 2,749.66 is: 4,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.84 : 10,698.18 = 2,749.66 : x
  2. Step 2: Convert to fraction form
    7,132.84/10,698.18 = 2,749.66/x
  3. Step 3: Cross multiply
    7,132.84x = 10,698.18 × 2,749.66
  4. Step 4: Simplify right side
    7,132.84x = 29,416,357.62
  5. Step 5: Solve for x
    x = 29,416,357.62/7,132.84
  6. Step 6: Final answer
    x = 4,124.07

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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.