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Finding the Fourth Proportional to 10,507.21, 15,765.60 and 3,933.91

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Solution

The fourth proportional to 10,507.21, 15,765.60 and 3,933.91 is: 5,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.21 : 15,765.60 = 3,933.91 : x
  2. Step 2: Convert to fraction form
    10,507.21/15,765.60 = 3,933.91/x
  3. Step 3: Cross multiply
    10,507.21x = 15,765.60 × 3,933.91
  4. Step 4: Simplify right side
    10,507.21x = 62,020,451.50
  5. Step 5: Solve for x
    x = 62,020,451.50/10,507.21
  6. Step 6: Final answer
    x = 5,902.66

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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.