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Finding the Fourth Proportional to 8,384.24, 11,573.40 and 6,294.40

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Solution

The fourth proportional to 8,384.24, 11,573.40 and 6,294.40 is: 8,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.24 : 11,573.40 = 6,294.40 : x
  2. Step 2: Convert to fraction form
    8,384.24/11,573.40 = 6,294.40/x
  3. Step 3: Cross multiply
    8,384.24x = 11,573.40 × 6,294.40
  4. Step 4: Simplify right side
    8,384.24x = 72,847,608.96
  5. Step 5: Solve for x
    x = 72,847,608.96/8,384.24
  6. Step 6: Final answer
    x = 8,688.64

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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.