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Finding the Fourth Proportional to 8,355.74, 12,533.70 and 3,421.94

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Solution

The fourth proportional to 8,355.74, 12,533.70 and 3,421.94 is: 5,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.74 : 12,533.70 = 3,421.94 : x
  2. Step 2: Convert to fraction form
    8,355.74/12,533.70 = 3,421.94/x
  3. Step 3: Cross multiply
    8,355.74x = 12,533.70 × 3,421.94
  4. Step 4: Simplify right side
    8,355.74x = 42,889,569.38
  5. Step 5: Solve for x
    x = 42,889,569.38/8,355.74
  6. Step 6: Final answer
    x = 5,132.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.