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Finding the Fourth Proportional to 10,269.61, 14,172.04 and 5,793.35

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Solution

The fourth proportional to 10,269.61, 14,172.04 and 5,793.35 is: 7,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.61 : 14,172.04 = 5,793.35 : x
  2. Step 2: Convert to fraction form
    10,269.61/14,172.04 = 5,793.35/x
  3. Step 3: Cross multiply
    10,269.61x = 14,172.04 × 5,793.35
  4. Step 4: Simplify right side
    10,269.61x = 82,103,587.93
  5. Step 5: Solve for x
    x = 82,103,587.93/10,269.61
  6. Step 6: Final answer
    x = 7,994.81

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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.