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Finding the Fourth Proportional to 10,262, 15,396.84 and 5,328.56

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Solution

The fourth proportional to 10,262, 15,396.84 and 5,328.56 is: 7,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 15,396.84 = 5,328.56 : x
  2. Step 2: Convert to fraction form
    10,262/15,396.84 = 5,328.56/x
  3. Step 3: Cross multiply
    10,262x = 15,396.84 × 5,328.56
  4. Step 4: Simplify right side
    10,262x = 82,042,985.75
  5. Step 5: Solve for x
    x = 82,042,985.75/10,262
  6. Step 6: Final answer
    x = 7,994.83

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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.