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Finding the Fourth Proportional to 11,424.94, 15,766.63 and 6,389.72

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Solution

The fourth proportional to 11,424.94, 15,766.63 and 6,389.72 is: 8,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.94 : 15,766.63 = 6,389.72 : x
  2. Step 2: Convert to fraction form
    11,424.94/15,766.63 = 6,389.72/x
  3. Step 3: Cross multiply
    11,424.94x = 15,766.63 × 6,389.72
  4. Step 4: Simplify right side
    11,424.94x = 100,744,256.24
  5. Step 5: Solve for x
    x = 100,744,256.24/11,424.94
  6. Step 6: Final answer
    x = 8,817.93

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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.