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Finding the Fourth Proportional to 8,408.99, 12,613.50 and 4,663.06

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Solution

The fourth proportional to 8,408.99, 12,613.50 and 4,663.06 is: 6,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.99 : 12,613.50 = 4,663.06 : x
  2. Step 2: Convert to fraction form
    8,408.99/12,613.50 = 4,663.06/x
  3. Step 3: Cross multiply
    8,408.99x = 12,613.50 × 4,663.06
  4. Step 4: Simplify right side
    8,408.99x = 58,817,475.78
  5. Step 5: Solve for x
    x = 58,817,475.78/8,408.99
  6. Step 6: Final answer
    x = 6,994.59

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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.