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Finding the Fourth Proportional to 7,143.80, 10,015.90 and 7,143.80

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Solution

The fourth proportional to 7,143.80, 10,015.90 and 7,143.80 is: 10,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.80 : 10,015.90 = 7,143.80 : x
  2. Step 2: Convert to fraction form
    7,143.80/10,015.90 = 7,143.80/x
  3. Step 3: Cross multiply
    7,143.80x = 10,015.90 × 7,143.80
  4. Step 4: Simplify right side
    7,143.80x = 71,551,586.42
  5. Step 5: Solve for x
    x = 71,551,586.42/7,143.80
  6. Step 6: Final answer
    x = 10,015.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.