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Finding the Fourth Proportional to 11,812.87, 16,302.59 and 6,778.63

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Solution

The fourth proportional to 11,812.87, 16,302.59 and 6,778.63 is: 9,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.87 : 16,302.59 = 6,778.63 : x
  2. Step 2: Convert to fraction form
    11,812.87/16,302.59 = 6,778.63/x
  3. Step 3: Cross multiply
    11,812.87x = 16,302.59 × 6,778.63
  4. Step 4: Simplify right side
    11,812.87x = 110,509,225.65
  5. Step 5: Solve for x
    x = 110,509,225.65/11,812.87
  6. Step 6: Final answer
    x = 9,354.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.