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Finding the Fourth Proportional to 10,775.82, 14,840.36 and 8,895

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Solution

The fourth proportional to 10,775.82, 14,840.36 and 8,895 is: 12,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.82 : 14,840.36 = 8,895 : x
  2. Step 2: Convert to fraction form
    10,775.82/14,840.36 = 8,895/x
  3. Step 3: Cross multiply
    10,775.82x = 14,840.36 × 8,895
  4. Step 4: Simplify right side
    10,775.82x = 132,005,002.20
  5. Step 5: Solve for x
    x = 132,005,002.20/10,775.82
  6. Step 6: Final answer
    x = 12,250.11

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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.