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Finding the Fourth Proportional to 7,888.73, 11,833.02 and 5,416.01

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Solution

The fourth proportional to 7,888.73, 11,833.02 and 5,416.01 is: 8,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.73 : 11,833.02 = 5,416.01 : x
  2. Step 2: Convert to fraction form
    7,888.73/11,833.02 = 5,416.01/x
  3. Step 3: Cross multiply
    7,888.73x = 11,833.02 × 5,416.01
  4. Step 4: Simplify right side
    7,888.73x = 64,087,754.65
  5. Step 5: Solve for x
    x = 64,087,754.65/7,888.73
  6. Step 6: Final answer
    x = 8,123.96

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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.