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Finding the Fourth Proportional to 12,534.23, 17,292.12 and 7,750.77

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Solution

The fourth proportional to 12,534.23, 17,292.12 and 7,750.77 is: 10,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.23 : 17,292.12 = 7,750.77 : x
  2. Step 2: Convert to fraction form
    12,534.23/17,292.12 = 7,750.77/x
  3. Step 3: Cross multiply
    12,534.23x = 17,292.12 × 7,750.77
  4. Step 4: Simplify right side
    12,534.23x = 134,027,244.93
  5. Step 5: Solve for x
    x = 134,027,244.93/12,534.23
  6. Step 6: Final answer
    x = 10,692.90

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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.