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Finding the Fourth Proportional to 8,442.96, 12,666.20 and 2,599.28

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Solution

The fourth proportional to 8,442.96, 12,666.20 and 2,599.28 is: 3,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.96 : 12,666.20 = 2,599.28 : x
  2. Step 2: Convert to fraction form
    8,442.96/12,666.20 = 2,599.28/x
  3. Step 3: Cross multiply
    8,442.96x = 12,666.20 × 2,599.28
  4. Step 4: Simplify right side
    8,442.96x = 32,923,000.34
  5. Step 5: Solve for x
    x = 32,923,000.34/8,442.96
  6. Step 6: Final answer
    x = 3,899.46

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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.