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Finding the Fourth Proportional to 8,284.35, 12,392.35 and 5,318.23

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Solution

The fourth proportional to 8,284.35, 12,392.35 and 5,318.23 is: 7,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.35 : 12,392.35 = 5,318.23 : x
  2. Step 2: Convert to fraction form
    8,284.35/12,392.35 = 5,318.23/x
  3. Step 3: Cross multiply
    8,284.35x = 12,392.35 × 5,318.23
  4. Step 4: Simplify right side
    8,284.35x = 65,905,323.26
  5. Step 5: Solve for x
    x = 65,905,323.26/8,284.35
  6. Step 6: Final answer
    x = 7,955.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.