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Finding the Fourth Proportional to 11,631.50, 16,051.62 and 6,595.61

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Solution

The fourth proportional to 11,631.50, 16,051.62 and 6,595.61 is: 9,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.50 : 16,051.62 = 6,595.61 : x
  2. Step 2: Convert to fraction form
    11,631.50/16,051.62 = 6,595.61/x
  3. Step 3: Cross multiply
    11,631.50x = 16,051.62 × 6,595.61
  4. Step 4: Simplify right side
    11,631.50x = 105,870,112.15
  5. Step 5: Solve for x
    x = 105,870,112.15/11,631.50
  6. Step 6: Final answer
    x = 9,102.02

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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.