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Finding the Fourth Proportional to 11,036.87, 16,538.85 and 9,446.16

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Solution

The fourth proportional to 11,036.87, 16,538.85 and 9,446.16 is: 14,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.87 : 16,538.85 = 9,446.16 : x
  2. Step 2: Convert to fraction form
    11,036.87/16,538.85 = 9,446.16/x
  3. Step 3: Cross multiply
    11,036.87x = 16,538.85 × 9,446.16
  4. Step 4: Simplify right side
    11,036.87x = 156,228,623.32
  5. Step 5: Solve for x
    x = 156,228,623.32/11,036.87
  6. Step 6: Final answer
    x = 14,155.16

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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.