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Finding the Fourth Proportional to 7,866.86, 10,856.52 and 4,330.34

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Solution

The fourth proportional to 7,866.86, 10,856.52 and 4,330.34 is: 5,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.86 : 10,856.52 = 4,330.34 : x
  2. Step 2: Convert to fraction form
    7,866.86/10,856.52 = 4,330.34/x
  3. Step 3: Cross multiply
    7,866.86x = 10,856.52 × 4,330.34
  4. Step 4: Simplify right side
    7,866.86x = 47,012,422.82
  5. Step 5: Solve for x
    x = 47,012,422.82/7,866.86
  6. Step 6: Final answer
    x = 5,976.01

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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.