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Finding the Fourth Proportional to 11,149.35, 15,386.07 and 6,113.73

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Solution

The fourth proportional to 11,149.35, 15,386.07 and 6,113.73 is: 8,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.35 : 15,386.07 = 6,113.73 : x
  2. Step 2: Convert to fraction form
    11,149.35/15,386.07 = 6,113.73/x
  3. Step 3: Cross multiply
    11,149.35x = 15,386.07 × 6,113.73
  4. Step 4: Simplify right side
    11,149.35x = 94,066,277.74
  5. Step 5: Solve for x
    x = 94,066,277.74/11,149.35
  6. Step 6: Final answer
    x = 8,436.93

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