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Finding the Fourth Proportional to 7,105.20, 10,657.80 and 5,636.40

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Solution

The fourth proportional to 7,105.20, 10,657.80 and 5,636.40 is: 8,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.20 : 10,657.80 = 5,636.40 : x
  2. Step 2: Convert to fraction form
    7,105.20/10,657.80 = 5,636.40/x
  3. Step 3: Cross multiply
    7,105.20x = 10,657.80 × 5,636.40
  4. Step 4: Simplify right side
    7,105.20x = 60,071,623.92
  5. Step 5: Solve for x
    x = 60,071,623.92/7,105.20
  6. Step 6: Final answer
    x = 8,454.60

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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.