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Finding the Fourth Proportional to 8,211.15, 12,322.80 and 5,436.90

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Solution

The fourth proportional to 8,211.15, 12,322.80 and 5,436.90 is: 8,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.15 : 12,322.80 = 5,436.90 : x
  2. Step 2: Convert to fraction form
    8,211.15/12,322.80 = 5,436.90/x
  3. Step 3: Cross multiply
    8,211.15x = 12,322.80 × 5,436.90
  4. Step 4: Simplify right side
    8,211.15x = 66,997,831.32
  5. Step 5: Solve for x
    x = 66,997,831.32/8,211.15
  6. Step 6: Final answer
    x = 8,159.37

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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.