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Finding the Fourth Proportional to 8,129.57, 11,216.54 and 5,146.67

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Solution

The fourth proportional to 8,129.57, 11,216.54 and 5,146.67 is: 7,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.57 : 11,216.54 = 5,146.67 : x
  2. Step 2: Convert to fraction form
    8,129.57/11,216.54 = 5,146.67/x
  3. Step 3: Cross multiply
    8,129.57x = 11,216.54 × 5,146.67
  4. Step 4: Simplify right side
    8,129.57x = 57,727,870.83
  5. Step 5: Solve for x
    x = 57,727,870.83/8,129.57
  6. Step 6: Final answer
    x = 7,100.98

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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.