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Finding the Fourth Proportional to 8,230.08, 11,362.71 and 5,711.40

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Solution

The fourth proportional to 8,230.08, 11,362.71 and 5,711.40 is: 7,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.08 : 11,362.71 = 5,711.40 : x
  2. Step 2: Convert to fraction form
    8,230.08/11,362.71 = 5,711.40/x
  3. Step 3: Cross multiply
    8,230.08x = 11,362.71 × 5,711.40
  4. Step 4: Simplify right side
    8,230.08x = 64,896,981.89
  5. Step 5: Solve for x
    x = 64,896,981.89/8,230.08
  6. Step 6: Final answer
    x = 7,885.34

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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.