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Finding the Fourth Proportional to 7,866.91, 10,856.54 and 4,282.10

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Solution

The fourth proportional to 7,866.91, 10,856.54 and 4,282.10 is: 5,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.91 : 10,856.54 = 4,282.10 : x
  2. Step 2: Convert to fraction form
    7,866.91/10,856.54 = 4,282.10/x
  3. Step 3: Cross multiply
    7,866.91x = 10,856.54 × 4,282.10
  4. Step 4: Simplify right side
    7,866.91x = 46,488,768.52
  5. Step 5: Solve for x
    x = 46,488,768.52/7,866.91
  6. Step 6: Final answer
    x = 5,909.41

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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.