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Finding the Fourth Proportional to 10,630, 15,944.65 and 5,709.25

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Solution

The fourth proportional to 10,630, 15,944.65 and 5,709.25 is: 8,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630 : 15,944.65 = 5,709.25 : x
  2. Step 2: Convert to fraction form
    10,630/15,944.65 = 5,709.25/x
  3. Step 3: Cross multiply
    10,630x = 15,944.65 × 5,709.25
  4. Step 4: Simplify right side
    10,630x = 91,031,993.01
  5. Step 5: Solve for x
    x = 91,031,993.01/10,630
  6. Step 6: Final answer
    x = 8,563.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.