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Finding the Fourth Proportional to 10,591.75, 14,616.62 and 5,876.34

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Solution

The fourth proportional to 10,591.75, 14,616.62 and 5,876.34 is: 8,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.75 : 14,616.62 = 5,876.34 : x
  2. Step 2: Convert to fraction form
    10,591.75/14,616.62 = 5,876.34/x
  3. Step 3: Cross multiply
    10,591.75x = 14,616.62 × 5,876.34
  4. Step 4: Simplify right side
    10,591.75x = 85,892,228.77
  5. Step 5: Solve for x
    x = 85,892,228.77/10,591.75
  6. Step 6: Final answer
    x = 8,109.35

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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.