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Finding the Fourth Proportional to 7,866.60, 10,856.10 and 4,329.60

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Solution

The fourth proportional to 7,866.60, 10,856.10 and 4,329.60 is: 5,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.60 : 10,856.10 = 4,329.60 : x
  2. Step 2: Convert to fraction form
    7,866.60/10,856.10 = 4,329.60/x
  3. Step 3: Cross multiply
    7,866.60x = 10,856.10 × 4,329.60
  4. Step 4: Simplify right side
    7,866.60x = 47,002,570.56
  5. Step 5: Solve for x
    x = 47,002,570.56/7,866.60
  6. Step 6: Final answer
    x = 5,974.95

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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.