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Finding the Fourth Proportional to 7,503.26, 11,254.62 and 2,309

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Solution

The fourth proportional to 7,503.26, 11,254.62 and 2,309 is: 3,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.26 : 11,254.62 = 2,309 : x
  2. Step 2: Convert to fraction form
    7,503.26/11,254.62 = 2,309/x
  3. Step 3: Cross multiply
    7,503.26x = 11,254.62 × 2,309
  4. Step 4: Simplify right side
    7,503.26x = 25,986,917.58
  5. Step 5: Solve for x
    x = 25,986,917.58/7,503.26
  6. Step 6: Final answer
    x = 3,463.42

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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.