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Finding the Fourth Proportional to 8,553.39, 11,802.64 and 4,776.77

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Solution

The fourth proportional to 8,553.39, 11,802.64 and 4,776.77 is: 6,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.39 : 11,802.64 = 4,776.77 : x
  2. Step 2: Convert to fraction form
    8,553.39/11,802.64 = 4,776.77/x
  3. Step 3: Cross multiply
    8,553.39x = 11,802.64 × 4,776.77
  4. Step 4: Simplify right side
    8,553.39x = 56,378,413.78
  5. Step 5: Solve for x
    x = 56,378,413.78/8,553.39
  6. Step 6: Final answer
    x = 6,591.35

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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.