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Finding the Fourth Proportional to 8,396.77, 12,597.89 and 4,014.57

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Solution

The fourth proportional to 8,396.77, 12,597.89 and 4,014.57 is: 6,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.77 : 12,597.89 = 4,014.57 : x
  2. Step 2: Convert to fraction form
    8,396.77/12,597.89 = 4,014.57/x
  3. Step 3: Cross multiply
    8,396.77x = 12,597.89 × 4,014.57
  4. Step 4: Simplify right side
    8,396.77x = 50,575,111.26
  5. Step 5: Solve for x
    x = 50,575,111.26/8,396.77
  6. Step 6: Final answer
    x = 6,023.16

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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.