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Finding the Fourth Proportional to 7,487.60, 11,224.20 and 5,820.80

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Solution

The fourth proportional to 7,487.60, 11,224.20 and 5,820.80 is: 8,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.60 : 11,224.20 = 5,820.80 : x
  2. Step 2: Convert to fraction form
    7,487.60/11,224.20 = 5,820.80/x
  3. Step 3: Cross multiply
    7,487.60x = 11,224.20 × 5,820.80
  4. Step 4: Simplify right side
    7,487.60x = 65,333,823.36
  5. Step 5: Solve for x
    x = 65,333,823.36/7,487.60
  6. Step 6: Final answer
    x = 8,725.60

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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.