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Finding the Fourth Proportional to 8,378.24, 11,560.82 and 5,020.30

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Solution

The fourth proportional to 8,378.24, 11,560.82 and 5,020.30 is: 6,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.24 : 11,560.82 = 5,020.30 : x
  2. Step 2: Convert to fraction form
    8,378.24/11,560.82 = 5,020.30/x
  3. Step 3: Cross multiply
    8,378.24x = 11,560.82 × 5,020.30
  4. Step 4: Simplify right side
    8,378.24x = 58,038,784.65
  5. Step 5: Solve for x
    x = 58,038,784.65/8,378.24
  6. Step 6: Final answer
    x = 6,927.32

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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.