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Finding the Fourth Proportional to 8,770.77, 12,107.87 and 5,186.34

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Solution

The fourth proportional to 8,770.77, 12,107.87 and 5,186.34 is: 7,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.77 : 12,107.87 = 5,186.34 : x
  2. Step 2: Convert to fraction form
    8,770.77/12,107.87 = 5,186.34/x
  3. Step 3: Cross multiply
    8,770.77x = 12,107.87 × 5,186.34
  4. Step 4: Simplify right side
    8,770.77x = 62,795,530.50
  5. Step 5: Solve for x
    x = 62,795,530.50/8,770.77
  6. Step 6: Final answer
    x = 7,159.64

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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.