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Finding the Fourth Proportional to 11,125.75, 15,353.55 and 6,934

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Solution

The fourth proportional to 11,125.75, 15,353.55 and 6,934 is: 9,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.75 : 15,353.55 = 6,934 : x
  2. Step 2: Convert to fraction form
    11,125.75/15,353.55 = 6,934/x
  3. Step 3: Cross multiply
    11,125.75x = 15,353.55 × 6,934
  4. Step 4: Simplify right side
    11,125.75x = 106,461,515.70
  5. Step 5: Solve for x
    x = 106,461,515.70/11,125.75
  6. Step 6: Final answer
    x = 9,568.93

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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.