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Finding the Fourth Proportional to 11,006.54, 16,497.40 and 5,463.84

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Solution

The fourth proportional to 11,006.54, 16,497.40 and 5,463.84 is: 8,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.54 : 16,497.40 = 5,463.84 : x
  2. Step 2: Convert to fraction form
    11,006.54/16,497.40 = 5,463.84/x
  3. Step 3: Cross multiply
    11,006.54x = 16,497.40 × 5,463.84
  4. Step 4: Simplify right side
    11,006.54x = 90,139,154.02
  5. Step 5: Solve for x
    x = 90,139,154.02/11,006.54
  6. Step 6: Final answer
    x = 8,189.60

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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.