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Finding the Fourth Proportional to 8,394.03, 12,598.34 and 5,475.60

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Solution

The fourth proportional to 8,394.03, 12,598.34 and 5,475.60 is: 8,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.03 : 12,598.34 = 5,475.60 : x
  2. Step 2: Convert to fraction form
    8,394.03/12,598.34 = 5,475.60/x
  3. Step 3: Cross multiply
    8,394.03x = 12,598.34 × 5,475.60
  4. Step 4: Simplify right side
    8,394.03x = 68,983,443.13
  5. Step 5: Solve for x
    x = 68,983,443.13/8,394.03
  6. Step 6: Final answer
    x = 8,218.16

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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.