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Finding the Fourth Proportional to 8,463.38, 12,697.95 and 4,356.50

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Solution

The fourth proportional to 8,463.38, 12,697.95 and 4,356.50 is: 6,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.38 : 12,697.95 = 4,356.50 : x
  2. Step 2: Convert to fraction form
    8,463.38/12,697.95 = 4,356.50/x
  3. Step 3: Cross multiply
    8,463.38x = 12,697.95 × 4,356.50
  4. Step 4: Simplify right side
    8,463.38x = 55,318,619.18
  5. Step 5: Solve for x
    x = 55,318,619.18/8,463.38
  6. Step 6: Final answer
    x = 6,536.23

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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.