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Finding the Fourth Proportional to 7,462.04, 11,194.34 and 3,077.10

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Solution

The fourth proportional to 7,462.04, 11,194.34 and 3,077.10 is: 4,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.04 : 11,194.34 = 3,077.10 : x
  2. Step 2: Convert to fraction form
    7,462.04/11,194.34 = 3,077.10/x
  3. Step 3: Cross multiply
    7,462.04x = 11,194.34 × 3,077.10
  4. Step 4: Simplify right side
    7,462.04x = 34,446,088.23
  5. Step 5: Solve for x
    x = 34,446,088.23/7,462.04
  6. Step 6: Final answer
    x = 4,616.18

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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.