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Finding the Fourth Proportional to 8,233.20, 12,349.80 and 7,698.60

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Solution

The fourth proportional to 8,233.20, 12,349.80 and 7,698.60 is: 11,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.20 : 12,349.80 = 7,698.60 : x
  2. Step 2: Convert to fraction form
    8,233.20/12,349.80 = 7,698.60/x
  3. Step 3: Cross multiply
    8,233.20x = 12,349.80 × 7,698.60
  4. Step 4: Simplify right side
    8,233.20x = 95,076,170.28
  5. Step 5: Solve for x
    x = 95,076,170.28/8,233.20
  6. Step 6: Final answer
    x = 11,547.90

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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.