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Finding the Fourth Proportional to 10,385.83, 15,578.79 and 2,594.65

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Solution

The fourth proportional to 10,385.83, 15,578.79 and 2,594.65 is: 3,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.83 : 15,578.79 = 2,594.65 : x
  2. Step 2: Convert to fraction form
    10,385.83/15,578.79 = 2,594.65/x
  3. Step 3: Cross multiply
    10,385.83x = 15,578.79 × 2,594.65
  4. Step 4: Simplify right side
    10,385.83x = 40,421,494.50
  5. Step 5: Solve for x
    x = 40,421,494.50/10,385.83
  6. Step 6: Final answer
    x = 3,891.98

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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.