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Finding the Fourth Proportional to 7,412.52, 10,232.99 and 5,730.12

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Solution

The fourth proportional to 7,412.52, 10,232.99 and 5,730.12 is: 7,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.52 : 10,232.99 = 5,730.12 : x
  2. Step 2: Convert to fraction form
    7,412.52/10,232.99 = 5,730.12/x
  3. Step 3: Cross multiply
    7,412.52x = 10,232.99 × 5,730.12
  4. Step 4: Simplify right side
    7,412.52x = 58,636,260.66
  5. Step 5: Solve for x
    x = 58,636,260.66/7,412.52
  6. Step 6: Final answer
    x = 7,910.44

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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.