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Finding the Fourth Proportional to 12,776.52, 17,607 and 8,522.76

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Solution

The fourth proportional to 12,776.52, 17,607 and 8,522.76 is: 11,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.52 : 17,607 = 8,522.76 : x
  2. Step 2: Convert to fraction form
    12,776.52/17,607 = 8,522.76/x
  3. Step 3: Cross multiply
    12,776.52x = 17,607 × 8,522.76
  4. Step 4: Simplify right side
    12,776.52x = 150,060,235.32
  5. Step 5: Solve for x
    x = 150,060,235.32/12,776.52
  6. Step 6: Final answer
    x = 11,745.00

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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.