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Finding the Fourth Proportional to 10,509.75, 14,503.46 and 5,794.34

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Solution

The fourth proportional to 10,509.75, 14,503.46 and 5,794.34 is: 7,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 14,503.46 = 5,794.34 : x
  2. Step 2: Convert to fraction form
    10,509.75/14,503.46 = 5,794.34/x
  3. Step 3: Cross multiply
    10,509.75x = 14,503.46 × 5,794.34
  4. Step 4: Simplify right side
    10,509.75x = 84,037,876.93
  5. Step 5: Solve for x
    x = 84,037,876.93/10,509.75
  6. Step 6: Final answer
    x = 7,996.18

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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.