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Finding the Fourth Proportional to 10,564.16, 15,861.81 and 5,893.29

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Solution

The fourth proportional to 10,564.16, 15,861.81 and 5,893.29 is: 8,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.16 : 15,861.81 = 5,893.29 : x
  2. Step 2: Convert to fraction form
    10,564.16/15,861.81 = 5,893.29/x
  3. Step 3: Cross multiply
    10,564.16x = 15,861.81 × 5,893.29
  4. Step 4: Simplify right side
    10,564.16x = 93,478,285.91
  5. Step 5: Solve for x
    x = 93,478,285.91/10,564.16
  6. Step 6: Final answer
    x = 8,848.63

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Why These Related Problems?

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