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Finding the Fourth Proportional to 10,413.32, 14,314.84 and 8,972.33

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Solution

The fourth proportional to 10,413.32, 14,314.84 and 8,972.33 is: 12,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.32 : 14,314.84 = 8,972.33 : x
  2. Step 2: Convert to fraction form
    10,413.32/14,314.84 = 8,972.33/x
  3. Step 3: Cross multiply
    10,413.32x = 14,314.84 × 8,972.33
  4. Step 4: Simplify right side
    10,413.32x = 128,437,374.37
  5. Step 5: Solve for x
    x = 128,437,374.37/10,413.32
  6. Step 6: Final answer
    x = 12,333.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.