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Finding the Fourth Proportional to 8,212.80, 12,319.20 and 4,701.45

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Solution

The fourth proportional to 8,212.80, 12,319.20 and 4,701.45 is: 7,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.80 : 12,319.20 = 4,701.45 : x
  2. Step 2: Convert to fraction form
    8,212.80/12,319.20 = 4,701.45/x
  3. Step 3: Cross multiply
    8,212.80x = 12,319.20 × 4,701.45
  4. Step 4: Simplify right side
    8,212.80x = 57,918,102.84
  5. Step 5: Solve for x
    x = 57,918,102.84/8,212.80
  6. Step 6: Final answer
    x = 7,052.18

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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.