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Finding the Fourth Proportional to 7,840.76, 10,817.16 and 5,047.88

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Solution

The fourth proportional to 7,840.76, 10,817.16 and 5,047.88 is: 6,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.76 : 10,817.16 = 5,047.88 : x
  2. Step 2: Convert to fraction form
    7,840.76/10,817.16 = 5,047.88/x
  3. Step 3: Cross multiply
    7,840.76x = 10,817.16 × 5,047.88
  4. Step 4: Simplify right side
    7,840.76x = 54,603,725.62
  5. Step 5: Solve for x
    x = 54,603,725.62/7,840.76
  6. Step 6: Final answer
    x = 6,964.09

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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.