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Finding the Fourth Proportional to 7,339.24, 11,002.38 and 2,719.24

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Solution

The fourth proportional to 7,339.24, 11,002.38 and 2,719.24 is: 4,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.24 : 11,002.38 = 2,719.24 : x
  2. Step 2: Convert to fraction form
    7,339.24/11,002.38 = 2,719.24/x
  3. Step 3: Cross multiply
    7,339.24x = 11,002.38 × 2,719.24
  4. Step 4: Simplify right side
    7,339.24x = 29,918,111.79
  5. Step 5: Solve for x
    x = 29,918,111.79/7,339.24
  6. Step 6: Final answer
    x = 4,076.46

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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.