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Finding the Fourth Proportional to 7,581.58, 10,462.44 and 4,224.68

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Solution

The fourth proportional to 7,581.58, 10,462.44 and 4,224.68 is: 5,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.58 : 10,462.44 = 4,224.68 : x
  2. Step 2: Convert to fraction form
    7,581.58/10,462.44 = 4,224.68/x
  3. Step 3: Cross multiply
    7,581.58x = 10,462.44 × 4,224.68
  4. Step 4: Simplify right side
    7,581.58x = 44,200,461.02
  5. Step 5: Solve for x
    x = 44,200,461.02/7,581.58
  6. Step 6: Final answer
    x = 5,829.98

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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.