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Finding the Fourth Proportional to 8,604.18, 12,913.29 and 3,413.70

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Solution

The fourth proportional to 8,604.18, 12,913.29 and 3,413.70 is: 5,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.18 : 12,913.29 = 3,413.70 : x
  2. Step 2: Convert to fraction form
    8,604.18/12,913.29 = 3,413.70/x
  3. Step 3: Cross multiply
    8,604.18x = 12,913.29 × 3,413.70
  4. Step 4: Simplify right side
    8,604.18x = 44,082,098.07
  5. Step 5: Solve for x
    x = 44,082,098.07/8,604.18
  6. Step 6: Final answer
    x = 5,123.34

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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.