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Finding the Fourth Proportional to 7,165.50, 10,752.57 and 3,061.50

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Solution

The fourth proportional to 7,165.50, 10,752.57 and 3,061.50 is: 4,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.50 : 10,752.57 = 3,061.50 : x
  2. Step 2: Convert to fraction form
    7,165.50/10,752.57 = 3,061.50/x
  3. Step 3: Cross multiply
    7,165.50x = 10,752.57 × 3,061.50
  4. Step 4: Simplify right side
    7,165.50x = 32,918,993.06
  5. Step 5: Solve for x
    x = 32,918,993.06/7,165.50
  6. Step 6: Final answer
    x = 4,594.10

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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.