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Finding the Fourth Proportional to 7,462.96, 10,298.76 and 4,232.92

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Solution

The fourth proportional to 7,462.96, 10,298.76 and 4,232.92 is: 5,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.96 : 10,298.76 = 4,232.92 : x
  2. Step 2: Convert to fraction form
    7,462.96/10,298.76 = 4,232.92/x
  3. Step 3: Cross multiply
    7,462.96x = 10,298.76 × 4,232.92
  4. Step 4: Simplify right side
    7,462.96x = 43,593,827.18
  5. Step 5: Solve for x
    x = 43,593,827.18/7,462.96
  6. Step 6: Final answer
    x = 5,841.36

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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.