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Finding the Fourth Proportional to 10,596.41, 14,623.13 and 5,880.77

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Solution

The fourth proportional to 10,596.41, 14,623.13 and 5,880.77 is: 8,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.41 : 14,623.13 = 5,880.77 : x
  2. Step 2: Convert to fraction form
    10,596.41/14,623.13 = 5,880.77/x
  3. Step 3: Cross multiply
    10,596.41x = 14,623.13 × 5,880.77
  4. Step 4: Simplify right side
    10,596.41x = 85,995,264.21
  5. Step 5: Solve for x
    x = 85,995,264.21/10,596.41
  6. Step 6: Final answer
    x = 8,115.51

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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.