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Finding the Fourth Proportional to 11,006, 16,507.08 and 4,430.48

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Solution

The fourth proportional to 11,006, 16,507.08 and 4,430.48 is: 6,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 16,507.08 = 4,430.48 : x
  2. Step 2: Convert to fraction form
    11,006/16,507.08 = 4,430.48/x
  3. Step 3: Cross multiply
    11,006x = 16,507.08 × 4,430.48
  4. Step 4: Simplify right side
    11,006x = 73,134,287.80
  5. Step 5: Solve for x
    x = 73,134,287.80/11,006
  6. Step 6: Final answer
    x = 6,644.95

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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.