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Finding the Fourth Proportional to 7,417.82, 10,244.99 and 5,055.86

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Solution

The fourth proportional to 7,417.82, 10,244.99 and 5,055.86 is: 6,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.82 : 10,244.99 = 5,055.86 : x
  2. Step 2: Convert to fraction form
    7,417.82/10,244.99 = 5,055.86/x
  3. Step 3: Cross multiply
    7,417.82x = 10,244.99 × 5,055.86
  4. Step 4: Simplify right side
    7,417.82x = 51,797,235.14
  5. Step 5: Solve for x
    x = 51,797,235.14/7,417.82
  6. Step 6: Final answer
    x = 6,982.81

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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.