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Finding the Fourth Proportional to 10,601.70, 15,902.84 and 2,810.50

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Solution

The fourth proportional to 10,601.70, 15,902.84 and 2,810.50 is: 4,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.70 : 15,902.84 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    10,601.70/15,902.84 = 2,810.50/x
  3. Step 3: Cross multiply
    10,601.70x = 15,902.84 × 2,810.50
  4. Step 4: Simplify right side
    10,601.70x = 44,694,931.82
  5. Step 5: Solve for x
    x = 44,694,931.82/10,601.70
  6. Step 6: Final answer
    x = 4,215.83

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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.