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Finding the Fourth Proportional to 7,484.79, 11,206.20 and 3,966.84

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Solution

The fourth proportional to 7,484.79, 11,206.20 and 3,966.84 is: 5,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.79 : 11,206.20 = 3,966.84 : x
  2. Step 2: Convert to fraction form
    7,484.79/11,206.20 = 3,966.84/x
  3. Step 3: Cross multiply
    7,484.79x = 11,206.20 × 3,966.84
  4. Step 4: Simplify right side
    7,484.79x = 44,453,202.41
  5. Step 5: Solve for x
    x = 44,453,202.41/7,484.79
  6. Step 6: Final answer
    x = 5,939.14

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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.