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Finding the Fourth Proportional to 10,462.22, 15,671.42 and 7,649.22

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Solution

The fourth proportional to 10,462.22, 15,671.42 and 7,649.22 is: 11,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.22 : 15,671.42 = 7,649.22 : x
  2. Step 2: Convert to fraction form
    10,462.22/15,671.42 = 7,649.22/x
  3. Step 3: Cross multiply
    10,462.22x = 15,671.42 × 7,649.22
  4. Step 4: Simplify right side
    10,462.22x = 119,874,139.29
  5. Step 5: Solve for x
    x = 119,874,139.29/10,462.22
  6. Step 6: Final answer
    x = 11,457.81

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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.