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Finding the Fourth Proportional to 10,584.86, 15,916.18 and 10,157.18

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Solution

The fourth proportional to 10,584.86, 15,916.18 and 10,157.18 is: 15,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.86 : 15,916.18 = 10,157.18 : x
  2. Step 2: Convert to fraction form
    10,584.86/15,916.18 = 10,157.18/x
  3. Step 3: Cross multiply
    10,584.86x = 15,916.18 × 10,157.18
  4. Step 4: Simplify right side
    10,584.86x = 161,663,505.17
  5. Step 5: Solve for x
    x = 161,663,505.17/10,584.86
  6. Step 6: Final answer
    x = 15,273.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.