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Finding the Fourth Proportional to 7,539, 11,309.76 and 2,343.84

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Solution

The fourth proportional to 7,539, 11,309.76 and 2,343.84 is: 3,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539 : 11,309.76 = 2,343.84 : x
  2. Step 2: Convert to fraction form
    7,539/11,309.76 = 2,343.84/x
  3. Step 3: Cross multiply
    7,539x = 11,309.76 × 2,343.84
  4. Step 4: Simplify right side
    7,539x = 26,508,267.88
  5. Step 5: Solve for x
    x = 26,508,267.88/7,539
  6. Step 6: Final answer
    x = 3,516.15

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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.