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Finding the Fourth Proportional to 7,470.84, 11,206.63 and 2,134.81

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Solution

The fourth proportional to 7,470.84, 11,206.63 and 2,134.81 is: 3,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.84 : 11,206.63 = 2,134.81 : x
  2. Step 2: Convert to fraction form
    7,470.84/11,206.63 = 2,134.81/x
  3. Step 3: Cross multiply
    7,470.84x = 11,206.63 × 2,134.81
  4. Step 4: Simplify right side
    7,470.84x = 23,924,025.79
  5. Step 5: Solve for x
    x = 23,924,025.79/7,470.84
  6. Step 6: Final answer
    x = 3,202.32

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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.