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Finding the Fourth Proportional to 7,857.12, 11,774.68 and 5,907.04

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Solution

The fourth proportional to 7,857.12, 11,774.68 and 5,907.04 is: 8,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.12 : 11,774.68 = 5,907.04 : x
  2. Step 2: Convert to fraction form
    7,857.12/11,774.68 = 5,907.04/x
  3. Step 3: Cross multiply
    7,857.12x = 11,774.68 × 5,907.04
  4. Step 4: Simplify right side
    7,857.12x = 69,553,505.75
  5. Step 5: Solve for x
    x = 69,553,505.75/7,857.12
  6. Step 6: Final answer
    x = 8,852.29

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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.