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Finding the Fourth Proportional to 11,101, 15,319.42 and 6,133

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Solution

The fourth proportional to 11,101, 15,319.42 and 6,133 is: 8,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101 : 15,319.42 = 6,133 : x
  2. Step 2: Convert to fraction form
    11,101/15,319.42 = 6,133/x
  3. Step 3: Cross multiply
    11,101x = 15,319.42 × 6,133
  4. Step 4: Simplify right side
    11,101x = 93,954,002.86
  5. Step 5: Solve for x
    x = 93,954,002.86/11,101
  6. Step 6: Final answer
    x = 8,463.56

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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.