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Finding the Fourth Proportional to 8,356.50, 12,527.76 and 3,429.68

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Solution

The fourth proportional to 8,356.50, 12,527.76 and 3,429.68 is: 5,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.50 : 12,527.76 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    8,356.50/12,527.76 = 3,429.68/x
  3. Step 3: Cross multiply
    8,356.50x = 12,527.76 × 3,429.68
  4. Step 4: Simplify right side
    8,356.50x = 42,966,158.14
  5. Step 5: Solve for x
    x = 42,966,158.14/8,356.50
  6. Step 6: Final answer
    x = 5,141.65

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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.