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Finding the Fourth Proportional to 7,470.53, 11,205.78 and 2,205.60

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Solution

The fourth proportional to 7,470.53, 11,205.78 and 2,205.60 is: 3,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.53 : 11,205.78 = 2,205.60 : x
  2. Step 2: Convert to fraction form
    7,470.53/11,205.78 = 2,205.60/x
  3. Step 3: Cross multiply
    7,470.53x = 11,205.78 × 2,205.60
  4. Step 4: Simplify right side
    7,470.53x = 24,715,468.37
  5. Step 5: Solve for x
    x = 24,715,468.37/7,470.53
  6. Step 6: Final answer
    x = 3,308.40

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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.