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Finding the Fourth Proportional to 10,181.88, 14,048.64 and 5,990.40

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Solution

The fourth proportional to 10,181.88, 14,048.64 and 5,990.40 is: 8,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.88 : 14,048.64 = 5,990.40 : x
  2. Step 2: Convert to fraction form
    10,181.88/14,048.64 = 5,990.40/x
  3. Step 3: Cross multiply
    10,181.88x = 14,048.64 × 5,990.40
  4. Step 4: Simplify right side
    10,181.88x = 84,156,973.06
  5. Step 5: Solve for x
    x = 84,156,973.06/10,181.88
  6. Step 6: Final answer
    x = 8,265.37

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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.