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Finding the Fourth Proportional to 10,952.25, 16,430.00 and 5,105.67

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Solution

The fourth proportional to 10,952.25, 16,430.00 and 5,105.67 is: 7,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.25 : 16,430.00 = 5,105.67 : x
  2. Step 2: Convert to fraction form
    10,952.25/16,430.00 = 5,105.67/x
  3. Step 3: Cross multiply
    10,952.25x = 16,430.00 × 5,105.67
  4. Step 4: Simplify right side
    10,952.25x = 83,886,132.57
  5. Step 5: Solve for x
    x = 83,886,132.57/10,952.25
  6. Step 6: Final answer
    x = 7,659.26

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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.