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Finding the Fourth Proportional to 7,994.16, 11,980.77 and 4,292.06

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Solution

The fourth proportional to 7,994.16, 11,980.77 and 4,292.06 is: 6,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.16 : 11,980.77 = 4,292.06 : x
  2. Step 2: Convert to fraction form
    7,994.16/11,980.77 = 4,292.06/x
  3. Step 3: Cross multiply
    7,994.16x = 11,980.77 × 4,292.06
  4. Step 4: Simplify right side
    7,994.16x = 51,422,123.78
  5. Step 5: Solve for x
    x = 51,422,123.78/7,994.16
  6. Step 6: Final answer
    x = 6,432.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.