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Finding the Fourth Proportional to 8,965.12, 13,453.44 and 4,864

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Solution

The fourth proportional to 8,965.12, 13,453.44 and 4,864 is: 7,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.12 : 13,453.44 = 4,864 : x
  2. Step 2: Convert to fraction form
    8,965.12/13,453.44 = 4,864/x
  3. Step 3: Cross multiply
    8,965.12x = 13,453.44 × 4,864
  4. Step 4: Simplify right side
    8,965.12x = 65,437,532.16
  5. Step 5: Solve for x
    x = 65,437,532.16/8,965.12
  6. Step 6: Final answer
    x = 7,299.13

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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.