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Finding the Fourth Proportional to 7,536.70, 11,306.07 and 3,153.13

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Solution

The fourth proportional to 7,536.70, 11,306.07 and 3,153.13 is: 4,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.70 : 11,306.07 = 3,153.13 : x
  2. Step 2: Convert to fraction form
    7,536.70/11,306.07 = 3,153.13/x
  3. Step 3: Cross multiply
    7,536.70x = 11,306.07 × 3,153.13
  4. Step 4: Simplify right side
    7,536.70x = 35,649,508.50
  5. Step 5: Solve for x
    x = 35,649,508.50/7,536.70
  6. Step 6: Final answer
    x = 4,730.12

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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.