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Finding the Fourth Proportional to 10,861.56, 14,975.82 and 9,180

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Solution

The fourth proportional to 10,861.56, 14,975.82 and 9,180 is: 12,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.56 : 14,975.82 = 9,180 : x
  2. Step 2: Convert to fraction form
    10,861.56/14,975.82 = 9,180/x
  3. Step 3: Cross multiply
    10,861.56x = 14,975.82 × 9,180
  4. Step 4: Simplify right side
    10,861.56x = 137,478,027.60
  5. Step 5: Solve for x
    x = 137,478,027.60/10,861.56
  6. Step 6: Final answer
    x = 12,657.30

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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.