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Finding the Fourth Proportional to 7,459.85, 11,194.80 and 3,077.21

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Solution

The fourth proportional to 7,459.85, 11,194.80 and 3,077.21 is: 4,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.85 : 11,194.80 = 3,077.21 : x
  2. Step 2: Convert to fraction form
    7,459.85/11,194.80 = 3,077.21/x
  3. Step 3: Cross multiply
    7,459.85x = 11,194.80 × 3,077.21
  4. Step 4: Simplify right side
    7,459.85x = 34,448,721.29
  5. Step 5: Solve for x
    x = 34,448,721.29/7,459.85
  6. Step 6: Final answer
    x = 4,617.89

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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.