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Finding the Fourth Proportional to 7,589.34, 11,386.24 and 3,894.15

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Solution

The fourth proportional to 7,589.34, 11,386.24 and 3,894.15 is: 5,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.34 : 11,386.24 = 3,894.15 : x
  2. Step 2: Convert to fraction form
    7,589.34/11,386.24 = 3,894.15/x
  3. Step 3: Cross multiply
    7,589.34x = 11,386.24 × 3,894.15
  4. Step 4: Simplify right side
    7,589.34x = 44,339,726.50
  5. Step 5: Solve for x
    x = 44,339,726.50/7,589.34
  6. Step 6: Final answer
    x = 5,842.37

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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.