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Finding the Fourth Proportional to 7,132, 10,699.05 and 2,453.21

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Solution

The fourth proportional to 7,132, 10,699.05 and 2,453.21 is: 3,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132 : 10,699.05 = 2,453.21 : x
  2. Step 2: Convert to fraction form
    7,132/10,699.05 = 2,453.21/x
  3. Step 3: Cross multiply
    7,132x = 10,699.05 × 2,453.21
  4. Step 4: Simplify right side
    7,132x = 26,247,016.45
  5. Step 5: Solve for x
    x = 26,247,016.45/7,132
  6. Step 6: Final answer
    x = 3,680.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.