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Finding the Fourth Proportional to 7,603.27, 10,489.53 and 4,416.02

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Solution

The fourth proportional to 7,603.27, 10,489.53 and 4,416.02 is: 6,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.27 : 10,489.53 = 4,416.02 : x
  2. Step 2: Convert to fraction form
    7,603.27/10,489.53 = 4,416.02/x
  3. Step 3: Cross multiply
    7,603.27x = 10,489.53 × 4,416.02
  4. Step 4: Simplify right side
    7,603.27x = 46,321,974.27
  5. Step 5: Solve for x
    x = 46,321,974.27/7,603.27
  6. Step 6: Final answer
    x = 6,092.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.