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Finding the Fourth Proportional to 7,742.44, 11,605.02 and 3,058.12

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Solution

The fourth proportional to 7,742.44, 11,605.02 and 3,058.12 is: 4,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.44 : 11,605.02 = 3,058.12 : x
  2. Step 2: Convert to fraction form
    7,742.44/11,605.02 = 3,058.12/x
  3. Step 3: Cross multiply
    7,742.44x = 11,605.02 × 3,058.12
  4. Step 4: Simplify right side
    7,742.44x = 35,489,543.76
  5. Step 5: Solve for x
    x = 35,489,543.76/7,742.44
  6. Step 6: Final answer
    x = 4,583.77

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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.