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Finding the Fourth Proportional to 10,649.45, 14,688.42 and 7,057.91

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Solution

The fourth proportional to 10,649.45, 14,688.42 and 7,057.91 is: 9,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.45 : 14,688.42 = 7,057.91 : x
  2. Step 2: Convert to fraction form
    10,649.45/14,688.42 = 7,057.91/x
  3. Step 3: Cross multiply
    10,649.45x = 14,688.42 × 7,057.91
  4. Step 4: Simplify right side
    10,649.45x = 103,669,546.40
  5. Step 5: Solve for x
    x = 103,669,546.40/10,649.45
  6. Step 6: Final answer
    x = 9,734.73

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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.