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Finding the Fourth Proportional to 10,181.95, 14,048.64 and 5,930.44

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Solution

The fourth proportional to 10,181.95, 14,048.64 and 5,930.44 is: 8,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.95 : 14,048.64 = 5,930.44 : x
  2. Step 2: Convert to fraction form
    10,181.95/14,048.64 = 5,930.44/x
  3. Step 3: Cross multiply
    10,181.95x = 14,048.64 × 5,930.44
  4. Step 4: Simplify right side
    10,181.95x = 83,314,581.48
  5. Step 5: Solve for x
    x = 83,314,581.48/10,181.95
  6. Step 6: Final answer
    x = 8,182.58

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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.