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Finding the Fourth Proportional to 7,105.54, 10,660.50 and 2,947.50

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Solution

The fourth proportional to 7,105.54, 10,660.50 and 2,947.50 is: 4,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.54 : 10,660.50 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    7,105.54/10,660.50 = 2,947.50/x
  3. Step 3: Cross multiply
    7,105.54x = 10,660.50 × 2,947.50
  4. Step 4: Simplify right side
    7,105.54x = 31,421,823.75
  5. Step 5: Solve for x
    x = 31,421,823.75/7,105.54
  6. Step 6: Final answer
    x = 4,422.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.