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Finding the Fourth Proportional to 10,902.75, 15,047.01 and 6,188.55

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Solution

The fourth proportional to 10,902.75, 15,047.01 and 6,188.55 is: 8,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.75 : 15,047.01 = 6,188.55 : x
  2. Step 2: Convert to fraction form
    10,902.75/15,047.01 = 6,188.55/x
  3. Step 3: Cross multiply
    10,902.75x = 15,047.01 × 6,188.55
  4. Step 4: Simplify right side
    10,902.75x = 93,119,173.74
  5. Step 5: Solve for x
    x = 93,119,173.74/10,902.75
  6. Step 6: Final answer
    x = 8,540.89

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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.