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Finding the Fourth Proportional to 8,113, 11,194.62 and 4,576

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Solution

The fourth proportional to 8,113, 11,194.62 and 4,576 is: 6,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113 : 11,194.62 = 4,576 : x
  2. Step 2: Convert to fraction form
    8,113/11,194.62 = 4,576/x
  3. Step 3: Cross multiply
    8,113x = 11,194.62 × 4,576
  4. Step 4: Simplify right side
    8,113x = 51,226,581.12
  5. Step 5: Solve for x
    x = 51,226,581.12/8,113
  6. Step 6: Final answer
    x = 6,314.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.