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Finding the Fourth Proportional to 10,760.22, 14,848.83 and 5,980.14

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Solution

The fourth proportional to 10,760.22, 14,848.83 and 5,980.14 is: 8,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.22 : 14,848.83 = 5,980.14 : x
  2. Step 2: Convert to fraction form
    10,760.22/14,848.83 = 5,980.14/x
  3. Step 3: Cross multiply
    10,760.22x = 14,848.83 × 5,980.14
  4. Step 4: Simplify right side
    10,760.22x = 88,798,082.24
  5. Step 5: Solve for x
    x = 88,798,082.24/10,760.22
  6. Step 6: Final answer
    x = 8,252.44

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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.