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Finding the Fourth Proportional to 7,857.20, 11,842.32 and 6,774.64

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Solution

The fourth proportional to 7,857.20, 11,842.32 and 6,774.64 is: 10,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.20 : 11,842.32 = 6,774.64 : x
  2. Step 2: Convert to fraction form
    7,857.20/11,842.32 = 6,774.64/x
  3. Step 3: Cross multiply
    7,857.20x = 11,842.32 × 6,774.64
  4. Step 4: Simplify right side
    7,857.20x = 80,227,454.76
  5. Step 5: Solve for x
    x = 80,227,454.76/7,857.20
  6. Step 6: Final answer
    x = 10,210.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.