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Finding the Fourth Proportional to 8,497.32, 12,749.34 and 3,816.06

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Solution

The fourth proportional to 8,497.32, 12,749.34 and 3,816.06 is: 5,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.32 : 12,749.34 = 3,816.06 : x
  2. Step 2: Convert to fraction form
    8,497.32/12,749.34 = 3,816.06/x
  3. Step 3: Cross multiply
    8,497.32x = 12,749.34 × 3,816.06
  4. Step 4: Simplify right side
    8,497.32x = 48,652,246.40
  5. Step 5: Solve for x
    x = 48,652,246.40/8,497.32
  6. Step 6: Final answer
    x = 5,725.60

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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.