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Finding the Fourth Proportional to 10,416.26, 15,627.13 and 3,842.51

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Solution

The fourth proportional to 10,416.26, 15,627.13 and 3,842.51 is: 5,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.26 : 15,627.13 = 3,842.51 : x
  2. Step 2: Convert to fraction form
    10,416.26/15,627.13 = 3,842.51/x
  3. Step 3: Cross multiply
    10,416.26x = 15,627.13 × 3,842.51
  4. Step 4: Simplify right side
    10,416.26x = 60,047,315.55
  5. Step 5: Solve for x
    x = 60,047,315.55/10,416.26
  6. Step 6: Final answer
    x = 5,764.77

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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.