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Finding the Fourth Proportional to 10,596.86, 14,622.99 and 5,881.14

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Solution

The fourth proportional to 10,596.86, 14,622.99 and 5,881.14 is: 8,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.86 : 14,622.99 = 5,881.14 : x
  2. Step 2: Convert to fraction form
    10,596.86/14,622.99 = 5,881.14/x
  3. Step 3: Cross multiply
    10,596.86x = 14,622.99 × 5,881.14
  4. Step 4: Simplify right side
    10,596.86x = 85,999,851.41
  5. Step 5: Solve for x
    x = 85,999,851.41/10,596.86
  6. Step 6: Final answer
    x = 8,115.60

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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.