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Finding the Fourth Proportional to 8,364.60, 12,538.13 and 2,816.02

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Solution

The fourth proportional to 8,364.60, 12,538.13 and 2,816.02 is: 4,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.60 : 12,538.13 = 2,816.02 : x
  2. Step 2: Convert to fraction form
    8,364.60/12,538.13 = 2,816.02/x
  3. Step 3: Cross multiply
    8,364.60x = 12,538.13 × 2,816.02
  4. Step 4: Simplify right side
    8,364.60x = 35,307,624.84
  5. Step 5: Solve for x
    x = 35,307,624.84/8,364.60
  6. Step 6: Final answer
    x = 4,221.08

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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.