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Finding the Fourth Proportional to 12,561.77, 17,334.05 and 7,255.86

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Solution

The fourth proportional to 12,561.77, 17,334.05 and 7,255.86 is: 10,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.77 : 17,334.05 = 7,255.86 : x
  2. Step 2: Convert to fraction form
    12,561.77/17,334.05 = 7,255.86/x
  3. Step 3: Cross multiply
    12,561.77x = 17,334.05 × 7,255.86
  4. Step 4: Simplify right side
    12,561.77x = 125,773,403.75
  5. Step 5: Solve for x
    x = 125,773,403.75/12,561.77
  6. Step 6: Final answer
    x = 10,012.40

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