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Finding the Fourth Proportional to 7,581.60, 10,462.78 and 4,224.64

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Solution

The fourth proportional to 7,581.60, 10,462.78 and 4,224.64 is: 5,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.60 : 10,462.78 = 4,224.64 : x
  2. Step 2: Convert to fraction form
    7,581.60/10,462.78 = 4,224.64/x
  3. Step 3: Cross multiply
    7,581.60x = 10,462.78 × 4,224.64
  4. Step 4: Simplify right side
    7,581.60x = 44,201,478.90
  5. Step 5: Solve for x
    x = 44,201,478.90/7,581.60
  6. Step 6: Final answer
    x = 5,830.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.