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Finding the Fourth Proportional to 7,726, 11,582.48 and 5,253.88

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Solution

The fourth proportional to 7,726, 11,582.48 and 5,253.88 is: 7,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726 : 11,582.48 = 5,253.88 : x
  2. Step 2: Convert to fraction form
    7,726/11,582.48 = 5,253.88/x
  3. Step 3: Cross multiply
    7,726x = 11,582.48 × 5,253.88
  4. Step 4: Simplify right side
    7,726x = 60,852,960.02
  5. Step 5: Solve for x
    x = 60,852,960.02/7,726
  6. Step 6: Final answer
    x = 7,876.39

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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.