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Finding the Fourth Proportional to 7,603.85, 11,402.13 and 3,904.18

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Solution

The fourth proportional to 7,603.85, 11,402.13 and 3,904.18 is: 5,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.85 : 11,402.13 = 3,904.18 : x
  2. Step 2: Convert to fraction form
    7,603.85/11,402.13 = 3,904.18/x
  3. Step 3: Cross multiply
    7,603.85x = 11,402.13 × 3,904.18
  4. Step 4: Simplify right side
    7,603.85x = 44,515,910.89
  5. Step 5: Solve for x
    x = 44,515,910.89/7,603.85
  6. Step 6: Final answer
    x = 5,854.39

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Why These Related Problems?

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