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Finding the Fourth Proportional to 11,624.76, 16,045.79 and 6,844.32

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Solution

The fourth proportional to 11,624.76, 16,045.79 and 6,844.32 is: 9,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.76 : 16,045.79 = 6,844.32 : x
  2. Step 2: Convert to fraction form
    11,624.76/16,045.79 = 6,844.32/x
  3. Step 3: Cross multiply
    11,624.76x = 16,045.79 × 6,844.32
  4. Step 4: Simplify right side
    11,624.76x = 109,822,487.19
  5. Step 5: Solve for x
    x = 109,822,487.19/11,624.76
  6. Step 6: Final answer
    x = 9,447.29

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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.