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Finding the Fourth Proportional to 7,429.96, 10,251.54 and 4,117.96

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Solution

The fourth proportional to 7,429.96, 10,251.54 and 4,117.96 is: 5,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.96 : 10,251.54 = 4,117.96 : x
  2. Step 2: Convert to fraction form
    7,429.96/10,251.54 = 4,117.96/x
  3. Step 3: Cross multiply
    7,429.96x = 10,251.54 × 4,117.96
  4. Step 4: Simplify right side
    7,429.96x = 42,215,431.66
  5. Step 5: Solve for x
    x = 42,215,431.66/7,429.96
  6. Step 6: Final answer
    x = 5,681.78

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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.