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Finding the Fourth Proportional to 7,878.20, 11,817.25 and 4,544.28

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Solution

The fourth proportional to 7,878.20, 11,817.25 and 4,544.28 is: 6,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.20 : 11,817.25 = 4,544.28 : x
  2. Step 2: Convert to fraction form
    7,878.20/11,817.25 = 4,544.28/x
  3. Step 3: Cross multiply
    7,878.20x = 11,817.25 × 4,544.28
  4. Step 4: Simplify right side
    7,878.20x = 53,700,927.49
  5. Step 5: Solve for x
    x = 53,700,927.49/7,878.20
  6. Step 6: Final answer
    x = 6,816.40

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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.