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Finding the Fourth Proportional to 11,077.72, 16,614.88 and 4,056.08

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Solution

The fourth proportional to 11,077.72, 16,614.88 and 4,056.08 is: 6,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.72 : 16,614.88 = 4,056.08 : x
  2. Step 2: Convert to fraction form
    11,077.72/16,614.88 = 4,056.08/x
  3. Step 3: Cross multiply
    11,077.72x = 16,614.88 × 4,056.08
  4. Step 4: Simplify right side
    11,077.72x = 67,391,282.47
  5. Step 5: Solve for x
    x = 67,391,282.47/11,077.72
  6. Step 6: Final answer
    x = 6,083.50

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Why These Related Problems?

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