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Finding the Fourth Proportional to 8,408.48, 12,599.60 and 5,324

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Solution

The fourth proportional to 8,408.48, 12,599.60 and 5,324 is: 7,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.48 : 12,599.60 = 5,324 : x
  2. Step 2: Convert to fraction form
    8,408.48/12,599.60 = 5,324/x
  3. Step 3: Cross multiply
    8,408.48x = 12,599.60 × 5,324
  4. Step 4: Simplify right side
    8,408.48x = 67,080,270.40
  5. Step 5: Solve for x
    x = 67,080,270.40/8,408.48
  6. Step 6: Final answer
    x = 7,977.69

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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.