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Finding the Fourth Proportional to 7,902.36, 11,848.95 and 3,222.18

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Solution

The fourth proportional to 7,902.36, 11,848.95 and 3,222.18 is: 4,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.36 : 11,848.95 = 3,222.18 : x
  2. Step 2: Convert to fraction form
    7,902.36/11,848.95 = 3,222.18/x
  3. Step 3: Cross multiply
    7,902.36x = 11,848.95 × 3,222.18
  4. Step 4: Simplify right side
    7,902.36x = 38,179,449.71
  5. Step 5: Solve for x
    x = 38,179,449.71/7,902.36
  6. Step 6: Final answer
    x = 4,831.40

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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.