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Finding the Fourth Proportional to 8,357.35, 12,533.97 and 3,428.40

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Solution

The fourth proportional to 8,357.35, 12,533.97 and 3,428.40 is: 5,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.35 : 12,533.97 = 3,428.40 : x
  2. Step 2: Convert to fraction form
    8,357.35/12,533.97 = 3,428.40/x
  3. Step 3: Cross multiply
    8,357.35x = 12,533.97 × 3,428.40
  4. Step 4: Simplify right side
    8,357.35x = 42,971,462.75
  5. Step 5: Solve for x
    x = 42,971,462.75/8,357.35
  6. Step 6: Final answer
    x = 5,141.76

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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.