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Finding the Fourth Proportional to 7,856.91, 10,842.57 and 4,320.36

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Solution

The fourth proportional to 7,856.91, 10,842.57 and 4,320.36 is: 5,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.91 : 10,842.57 = 4,320.36 : x
  2. Step 2: Convert to fraction form
    7,856.91/10,842.57 = 4,320.36/x
  3. Step 3: Cross multiply
    7,856.91x = 10,842.57 × 4,320.36
  4. Step 4: Simplify right side
    7,856.91x = 46,843,805.73
  5. Step 5: Solve for x
    x = 46,843,805.73/7,856.91
  6. Step 6: Final answer
    x = 5,962.12

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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.