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Finding the Fourth Proportional to 7,412.16, 11,121.20 and 3,254.58

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Solution

The fourth proportional to 7,412.16, 11,121.20 and 3,254.58 is: 4,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.16 : 11,121.20 = 3,254.58 : x
  2. Step 2: Convert to fraction form
    7,412.16/11,121.20 = 3,254.58/x
  3. Step 3: Cross multiply
    7,412.16x = 11,121.20 × 3,254.58
  4. Step 4: Simplify right side
    7,412.16x = 36,194,831.03
  5. Step 5: Solve for x
    x = 36,194,831.03/7,412.16
  6. Step 6: Final answer
    x = 4,883.17

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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.