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Finding the Fourth Proportional to 10,230.80, 14,114.08 and 5,981.60

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Solution

The fourth proportional to 10,230.80, 14,114.08 and 5,981.60 is: 8,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.80 : 14,114.08 = 5,981.60 : x
  2. Step 2: Convert to fraction form
    10,230.80/14,114.08 = 5,981.60/x
  3. Step 3: Cross multiply
    10,230.80x = 14,114.08 × 5,981.60
  4. Step 4: Simplify right side
    10,230.80x = 84,424,780.93
  5. Step 5: Solve for x
    x = 84,424,780.93/10,230.80
  6. Step 6: Final answer
    x = 8,252.02

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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.