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Finding the Fourth Proportional to 7,878.48, 11,817.84 and 6,311.16

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Solution

The fourth proportional to 7,878.48, 11,817.84 and 6,311.16 is: 9,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.48 : 11,817.84 = 6,311.16 : x
  2. Step 2: Convert to fraction form
    7,878.48/11,817.84 = 6,311.16/x
  3. Step 3: Cross multiply
    7,878.48x = 11,817.84 × 6,311.16
  4. Step 4: Simplify right side
    7,878.48x = 74,584,279.09
  5. Step 5: Solve for x
    x = 74,584,279.09/7,878.48
  6. Step 6: Final answer
    x = 9,466.84

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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.