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Finding the Fourth Proportional to 8,442.16, 12,662.14 and 2,598.64

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Solution

The fourth proportional to 8,442.16, 12,662.14 and 2,598.64 is: 3,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.16 : 12,662.14 = 2,598.64 : x
  2. Step 2: Convert to fraction form
    8,442.16/12,662.14 = 2,598.64/x
  3. Step 3: Cross multiply
    8,442.16x = 12,662.14 × 2,598.64
  4. Step 4: Simplify right side
    8,442.16x = 32,904,343.49
  5. Step 5: Solve for x
    x = 32,904,343.49/8,442.16
  6. Step 6: Final answer
    x = 3,897.62

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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.