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Finding the Fourth Proportional to 7,289.72, 10,057.10 and 4,143.48

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Solution

The fourth proportional to 7,289.72, 10,057.10 and 4,143.48 is: 5,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.72 : 10,057.10 = 4,143.48 : x
  2. Step 2: Convert to fraction form
    7,289.72/10,057.10 = 4,143.48/x
  3. Step 3: Cross multiply
    7,289.72x = 10,057.10 × 4,143.48
  4. Step 4: Simplify right side
    7,289.72x = 41,671,392.71
  5. Step 5: Solve for x
    x = 41,671,392.71/7,289.72
  6. Step 6: Final answer
    x = 5,716.46

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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.