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Finding the Fourth Proportional to 6,894.08, 10,332.48 and 3,196.16

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Solution

The fourth proportional to 6,894.08, 10,332.48 and 3,196.16 is: 4,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.08 : 10,332.48 = 3,196.16 : x
  2. Step 2: Convert to fraction form
    6,894.08/10,332.48 = 3,196.16/x
  3. Step 3: Cross multiply
    6,894.08x = 10,332.48 × 3,196.16
  4. Step 4: Simplify right side
    6,894.08x = 33,024,259.28
  5. Step 5: Solve for x
    x = 33,024,259.28/6,894.08
  6. Step 6: Final answer
    x = 4,790.23

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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.