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Finding the Fourth Proportional to 8,006.72, 11,036.05 and 5,353.16

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Solution

The fourth proportional to 8,006.72, 11,036.05 and 5,353.16 is: 7,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.72 : 11,036.05 = 5,353.16 : x
  2. Step 2: Convert to fraction form
    8,006.72/11,036.05 = 5,353.16/x
  3. Step 3: Cross multiply
    8,006.72x = 11,036.05 × 5,353.16
  4. Step 4: Simplify right side
    8,006.72x = 59,077,672.85
  5. Step 5: Solve for x
    x = 59,077,672.85/8,006.72
  6. Step 6: Final answer
    x = 7,378.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.