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Finding the Fourth Proportional to 7,817.35, 10,787.90 and 7,181.93

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Solution

The fourth proportional to 7,817.35, 10,787.90 and 7,181.93 is: 9,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.35 : 10,787.90 = 7,181.93 : x
  2. Step 2: Convert to fraction form
    7,817.35/10,787.90 = 7,181.93/x
  3. Step 3: Cross multiply
    7,817.35x = 10,787.90 × 7,181.93
  4. Step 4: Simplify right side
    7,817.35x = 77,477,942.65
  5. Step 5: Solve for x
    x = 77,477,942.65/7,817.35
  6. Step 6: Final answer
    x = 9,911.02

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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.