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Finding the Fourth Proportional to 10,213, 15,319.50 and 2,817.52

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Solution

The fourth proportional to 10,213, 15,319.50 and 2,817.52 is: 4,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213 : 15,319.50 = 2,817.52 : x
  2. Step 2: Convert to fraction form
    10,213/15,319.50 = 2,817.52/x
  3. Step 3: Cross multiply
    10,213x = 15,319.50 × 2,817.52
  4. Step 4: Simplify right side
    10,213x = 43,162,997.64
  5. Step 5: Solve for x
    x = 43,162,997.64/10,213
  6. Step 6: Final answer
    x = 4,226.28

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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.