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Finding the Fourth Proportional to 10,196.86, 15,292.12 and 4,928.60

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Solution

The fourth proportional to 10,196.86, 15,292.12 and 4,928.60 is: 7,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.86 : 15,292.12 = 4,928.60 : x
  2. Step 2: Convert to fraction form
    10,196.86/15,292.12 = 4,928.60/x
  3. Step 3: Cross multiply
    10,196.86x = 15,292.12 × 4,928.60
  4. Step 4: Simplify right side
    10,196.86x = 75,368,742.63
  5. Step 5: Solve for x
    x = 75,368,742.63/10,196.86
  6. Step 6: Final answer
    x = 7,391.37

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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.