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Finding the Fourth Proportional to 10,665.88, 16,002.97 and 4,424.32

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Solution

The fourth proportional to 10,665.88, 16,002.97 and 4,424.32 is: 6,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.88 : 16,002.97 = 4,424.32 : x
  2. Step 2: Convert to fraction form
    10,665.88/16,002.97 = 4,424.32/x
  3. Step 3: Cross multiply
    10,665.88x = 16,002.97 × 4,424.32
  4. Step 4: Simplify right side
    10,665.88x = 70,802,269.17
  5. Step 5: Solve for x
    x = 70,802,269.17/10,665.88
  6. Step 6: Final answer
    x = 6,638.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.