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Finding the Fourth Proportional to 10,685.48, 16,038.18 and 5,424.22

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Solution

The fourth proportional to 10,685.48, 16,038.18 and 5,424.22 is: 8,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.48 : 16,038.18 = 5,424.22 : x
  2. Step 2: Convert to fraction form
    10,685.48/16,038.18 = 5,424.22/x
  3. Step 3: Cross multiply
    10,685.48x = 16,038.18 × 5,424.22
  4. Step 4: Simplify right side
    10,685.48x = 86,994,616.72
  5. Step 5: Solve for x
    x = 86,994,616.72/10,685.48
  6. Step 6: Final answer
    x = 8,141.39

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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.