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Finding the Fourth Proportional to 8,281.16, 12,410.70 and 7,238.60

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Solution

The fourth proportional to 8,281.16, 12,410.70 and 7,238.60 is: 10,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.16 : 12,410.70 = 7,238.60 : x
  2. Step 2: Convert to fraction form
    8,281.16/12,410.70 = 7,238.60/x
  3. Step 3: Cross multiply
    8,281.16x = 12,410.70 × 7,238.60
  4. Step 4: Simplify right side
    8,281.16x = 89,836,093.02
  5. Step 5: Solve for x
    x = 89,836,093.02/8,281.16
  6. Step 6: Final answer
    x = 10,848.25

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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.