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Finding the Fourth Proportional to 7,470.60, 11,205.90 and 2,275.80

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Solution

The fourth proportional to 7,470.60, 11,205.90 and 2,275.80 is: 3,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.60 : 11,205.90 = 2,275.80 : x
  2. Step 2: Convert to fraction form
    7,470.60/11,205.90 = 2,275.80/x
  3. Step 3: Cross multiply
    7,470.60x = 11,205.90 × 2,275.80
  4. Step 4: Simplify right side
    7,470.60x = 25,502,387.22
  5. Step 5: Solve for x
    x = 25,502,387.22/7,470.60
  6. Step 6: Final answer
    x = 3,413.70

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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.