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Finding the Fourth Proportional to 7,887.66, 11,835 and 4,188.99

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Solution

The fourth proportional to 7,887.66, 11,835 and 4,188.99 is: 6,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.66 : 11,835 = 4,188.99 : x
  2. Step 2: Convert to fraction form
    7,887.66/11,835 = 4,188.99/x
  3. Step 3: Cross multiply
    7,887.66x = 11,835 × 4,188.99
  4. Step 4: Simplify right side
    7,887.66x = 49,576,696.65
  5. Step 5: Solve for x
    x = 49,576,696.65/7,887.66
  6. Step 6: Final answer
    x = 6,285.35

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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.