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Finding the Fourth Proportional to 7,117.99, 10,678.71 and 3,221.35

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Solution

The fourth proportional to 7,117.99, 10,678.71 and 3,221.35 is: 4,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.99 : 10,678.71 = 3,221.35 : x
  2. Step 2: Convert to fraction form
    7,117.99/10,678.71 = 3,221.35/x
  3. Step 3: Cross multiply
    7,117.99x = 10,678.71 × 3,221.35
  4. Step 4: Simplify right side
    7,117.99x = 34,399,862.46
  5. Step 5: Solve for x
    x = 34,399,862.46/7,117.99
  6. Step 6: Final answer
    x = 4,832.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.