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Finding the Fourth Proportional to 10,596.57, 14,623.28 and 5,880.86

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Solution

The fourth proportional to 10,596.57, 14,623.28 and 5,880.86 is: 8,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.57 : 14,623.28 = 5,880.86 : x
  2. Step 2: Convert to fraction form
    10,596.57/14,623.28 = 5,880.86/x
  3. Step 3: Cross multiply
    10,596.57x = 14,623.28 × 5,880.86
  4. Step 4: Simplify right side
    10,596.57x = 85,997,359.90
  5. Step 5: Solve for x
    x = 85,997,359.90/10,596.57
  6. Step 6: Final answer
    x = 8,115.58

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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.