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Finding the Fourth Proportional to 8,463.71, 12,697.70 and 4,305.98

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Solution

The fourth proportional to 8,463.71, 12,697.70 and 4,305.98 is: 6,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.71 : 12,697.70 = 4,305.98 : x
  2. Step 2: Convert to fraction form
    8,463.71/12,697.70 = 4,305.98/x
  3. Step 3: Cross multiply
    8,463.71x = 12,697.70 × 4,305.98
  4. Step 4: Simplify right side
    8,463.71x = 54,676,052.46
  5. Step 5: Solve for x
    x = 54,676,052.46/8,463.71
  6. Step 6: Final answer
    x = 6,460.06

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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.