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Finding the Fourth Proportional to 11,068.24, 16,607.27 and 5,802

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Solution

The fourth proportional to 11,068.24, 16,607.27 and 5,802 is: 8,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,068.24 : 16,607.27 = 5,802 : x
  2. Step 2: Convert to fraction form
    11,068.24/16,607.27 = 5,802/x
  3. Step 3: Cross multiply
    11,068.24x = 16,607.27 × 5,802
  4. Step 4: Simplify right side
    11,068.24x = 96,355,380.54
  5. Step 5: Solve for x
    x = 96,355,380.54/11,068.24
  6. Step 6: Final answer
    x = 8,705.57

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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.