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Finding the Fourth Proportional to 8,905.70, 12,286 and 5,366.90

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Solution

The fourth proportional to 8,905.70, 12,286 and 5,366.90 is: 7,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.70 : 12,286 = 5,366.90 : x
  2. Step 2: Convert to fraction form
    8,905.70/12,286 = 5,366.90/x
  3. Step 3: Cross multiply
    8,905.70x = 12,286 × 5,366.90
  4. Step 4: Simplify right side
    8,905.70x = 65,937,733.40
  5. Step 5: Solve for x
    x = 65,937,733.40/8,905.70
  6. Step 6: Final answer
    x = 7,403.99

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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.