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Finding the Fourth Proportional to 7,460.79, 11,191.13 and 2,780.64

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Solution

The fourth proportional to 7,460.79, 11,191.13 and 2,780.64 is: 4,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.79 : 11,191.13 = 2,780.64 : x
  2. Step 2: Convert to fraction form
    7,460.79/11,191.13 = 2,780.64/x
  3. Step 3: Cross multiply
    7,460.79x = 11,191.13 × 2,780.64
  4. Step 4: Simplify right side
    7,460.79x = 31,118,489.82
  5. Step 5: Solve for x
    x = 31,118,489.82/7,460.79
  6. Step 6: Final answer
    x = 4,170.94

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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.