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Finding the Fourth Proportional to 11,005.62, 16,507.94 and 6,077.70

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Solution

The fourth proportional to 11,005.62, 16,507.94 and 6,077.70 is: 9,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.62 : 16,507.94 = 6,077.70 : x
  2. Step 2: Convert to fraction form
    11,005.62/16,507.94 = 6,077.70/x
  3. Step 3: Cross multiply
    11,005.62x = 16,507.94 × 6,077.70
  4. Step 4: Simplify right side
    11,005.62x = 100,330,306.94
  5. Step 5: Solve for x
    x = 100,330,306.94/11,005.62
  6. Step 6: Final answer
    x = 9,116.28

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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.