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Finding the Fourth Proportional to 8,966.12, 12,378.77 and 5,780.54

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Solution

The fourth proportional to 8,966.12, 12,378.77 and 5,780.54 is: 7,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.12 : 12,378.77 = 5,780.54 : x
  2. Step 2: Convert to fraction form
    8,966.12/12,378.77 = 5,780.54/x
  3. Step 3: Cross multiply
    8,966.12x = 12,378.77 × 5,780.54
  4. Step 4: Simplify right side
    8,966.12x = 71,555,884.34
  5. Step 5: Solve for x
    x = 71,555,884.34/8,966.12
  6. Step 6: Final answer
    x = 7,980.70

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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.