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Finding the Fourth Proportional to 8,232.76, 12,349.70 and 3,488.07

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Solution

The fourth proportional to 8,232.76, 12,349.70 and 3,488.07 is: 5,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.76 : 12,349.70 = 3,488.07 : x
  2. Step 2: Convert to fraction form
    8,232.76/12,349.70 = 3,488.07/x
  3. Step 3: Cross multiply
    8,232.76x = 12,349.70 × 3,488.07
  4. Step 4: Simplify right side
    8,232.76x = 43,076,618.08
  5. Step 5: Solve for x
    x = 43,076,618.08/8,232.76
  6. Step 6: Final answer
    x = 5,232.34

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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.