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Finding the Fourth Proportional to 10,596.30, 15,894.54 and 2,805

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Solution

The fourth proportional to 10,596.30, 15,894.54 and 2,805 is: 4,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.30 : 15,894.54 = 2,805 : x
  2. Step 2: Convert to fraction form
    10,596.30/15,894.54 = 2,805/x
  3. Step 3: Cross multiply
    10,596.30x = 15,894.54 × 2,805
  4. Step 4: Simplify right side
    10,596.30x = 44,584,184.70
  5. Step 5: Solve for x
    x = 44,584,184.70/10,596.30
  6. Step 6: Final answer
    x = 4,207.52

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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.