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Finding the Fourth Proportional to 7,462.97, 10,299 and 4,276.40

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Solution

The fourth proportional to 7,462.97, 10,299 and 4,276.40 is: 5,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.97 : 10,299 = 4,276.40 : x
  2. Step 2: Convert to fraction form
    7,462.97/10,299 = 4,276.40/x
  3. Step 3: Cross multiply
    7,462.97x = 10,299 × 4,276.40
  4. Step 4: Simplify right side
    7,462.97x = 44,042,592.11
  5. Step 5: Solve for x
    x = 44,042,592.11/7,462.97
  6. Step 6: Final answer
    x = 5,901.49

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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.