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Finding the Fourth Proportional to 12,766.77, 17,612.38 and 7,459.20

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Solution

The fourth proportional to 12,766.77, 17,612.38 and 7,459.20 is: 10,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.77 : 17,612.38 = 7,459.20 : x
  2. Step 2: Convert to fraction form
    12,766.77/17,612.38 = 7,459.20/x
  3. Step 3: Cross multiply
    12,766.77x = 17,612.38 × 7,459.20
  4. Step 4: Simplify right side
    12,766.77x = 131,374,158.19
  5. Step 5: Solve for x
    x = 131,374,158.19/12,766.77
  6. Step 6: Final answer
    x = 10,290.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.