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Finding the Fourth Proportional to 10,642.56, 15,958.08 and 3,716.16

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Solution

The fourth proportional to 10,642.56, 15,958.08 and 3,716.16 is: 5,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 15,958.08 = 3,716.16 : x
  2. Step 2: Convert to fraction form
    10,642.56/15,958.08 = 3,716.16/x
  3. Step 3: Cross multiply
    10,642.56x = 15,958.08 × 3,716.16
  4. Step 4: Simplify right side
    10,642.56x = 59,302,778.57
  5. Step 5: Solve for x
    x = 59,302,778.57/10,642.56
  6. Step 6: Final answer
    x = 5,572.23

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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.