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Finding the Fourth Proportional to 10,416.02, 15,626.01 and 3,842.72

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Solution

The fourth proportional to 10,416.02, 15,626.01 and 3,842.72 is: 5,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.02 : 15,626.01 = 3,842.72 : x
  2. Step 2: Convert to fraction form
    10,416.02/15,626.01 = 3,842.72/x
  3. Step 3: Cross multiply
    10,416.02x = 15,626.01 × 3,842.72
  4. Step 4: Simplify right side
    10,416.02x = 60,046,381.15
  5. Step 5: Solve for x
    x = 60,046,381.15/10,416.02
  6. Step 6: Final answer
    x = 5,764.81

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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.