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Finding the Fourth Proportional to 10,459.90, 15,692.10 and 3,063.79

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Solution

The fourth proportional to 10,459.90, 15,692.10 and 3,063.79 is: 4,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.90 : 15,692.10 = 3,063.79 : x
  2. Step 2: Convert to fraction form
    10,459.90/15,692.10 = 3,063.79/x
  3. Step 3: Cross multiply
    10,459.90x = 15,692.10 × 3,063.79
  4. Step 4: Simplify right side
    10,459.90x = 48,077,299.06
  5. Step 5: Solve for x
    x = 48,077,299.06/10,459.90
  6. Step 6: Final answer
    x = 4,596.34

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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.