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Finding the Fourth Proportional to 10,704.65, 16,036.20 and 7,888.38

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Solution

The fourth proportional to 10,704.65, 16,036.20 and 7,888.38 is: 11,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.65 : 16,036.20 = 7,888.38 : x
  2. Step 2: Convert to fraction form
    10,704.65/16,036.20 = 7,888.38/x
  3. Step 3: Cross multiply
    10,704.65x = 16,036.20 × 7,888.38
  4. Step 4: Simplify right side
    10,704.65x = 126,499,549.31
  5. Step 5: Solve for x
    x = 126,499,549.31/10,704.65
  6. Step 6: Final answer
    x = 11,817.25

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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.