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Finding the Fourth Proportional to 8,482.86, 11,698.70 and 5,296.46

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Solution

The fourth proportional to 8,482.86, 11,698.70 and 5,296.46 is: 7,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.86 : 11,698.70 = 5,296.46 : x
  2. Step 2: Convert to fraction form
    8,482.86/11,698.70 = 5,296.46/x
  3. Step 3: Cross multiply
    8,482.86x = 11,698.70 × 5,296.46
  4. Step 4: Simplify right side
    8,482.86x = 61,961,611.63
  5. Step 5: Solve for x
    x = 61,961,611.63/8,482.86
  6. Step 6: Final answer
    x = 7,304.33

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