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Finding the Fourth Proportional to 7,887.65, 11,806.87 and 5,810

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Solution

The fourth proportional to 7,887.65, 11,806.87 and 5,810 is: 8,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.65 : 11,806.87 = 5,810 : x
  2. Step 2: Convert to fraction form
    7,887.65/11,806.87 = 5,810/x
  3. Step 3: Cross multiply
    7,887.65x = 11,806.87 × 5,810
  4. Step 4: Simplify right side
    7,887.65x = 68,597,885.65
  5. Step 5: Solve for x
    x = 68,597,885.65/7,887.65
  6. Step 6: Final answer
    x = 8,696.87

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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.