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Finding the Fourth Proportional to 8,442.76, 12,666.12 and 2,599.24

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Solution

The fourth proportional to 8,442.76, 12,666.12 and 2,599.24 is: 3,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.76 : 12,666.12 = 2,599.24 : x
  2. Step 2: Convert to fraction form
    8,442.76/12,666.12 = 2,599.24/x
  3. Step 3: Cross multiply
    8,442.76x = 12,666.12 × 2,599.24
  4. Step 4: Simplify right side
    8,442.76x = 32,922,285.75
  5. Step 5: Solve for x
    x = 32,922,285.75/8,442.76
  6. Step 6: Final answer
    x = 3,899.47

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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.