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Finding the Fourth Proportional to 7,886.36, 11,803.79 and 5,805.52

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Solution

The fourth proportional to 7,886.36, 11,803.79 and 5,805.52 is: 8,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.36 : 11,803.79 = 5,805.52 : x
  2. Step 2: Convert to fraction form
    7,886.36/11,803.79 = 5,805.52/x
  3. Step 3: Cross multiply
    7,886.36x = 11,803.79 × 5,805.52
  4. Step 4: Simplify right side
    7,886.36x = 68,527,123.93
  5. Step 5: Solve for x
    x = 68,527,123.93/7,886.36
  6. Step 6: Final answer
    x = 8,689.32

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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.