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Finding the Fourth Proportional to 8,335.81, 12,507.21 and 3,653.40

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Solution

The fourth proportional to 8,335.81, 12,507.21 and 3,653.40 is: 5,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.81 : 12,507.21 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    8,335.81/12,507.21 = 3,653.40/x
  3. Step 3: Cross multiply
    8,335.81x = 12,507.21 × 3,653.40
  4. Step 4: Simplify right side
    8,335.81x = 45,693,841.01
  5. Step 5: Solve for x
    x = 45,693,841.01/8,335.81
  6. Step 6: Final answer
    x = 5,481.63

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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.