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Finding the Fourth Proportional to 10,564.88, 15,832.20 and 5,938.16

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Solution

The fourth proportional to 10,564.88, 15,832.20 and 5,938.16 is: 8,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.88 : 15,832.20 = 5,938.16 : x
  2. Step 2: Convert to fraction form
    10,564.88/15,832.20 = 5,938.16/x
  3. Step 3: Cross multiply
    10,564.88x = 15,832.20 × 5,938.16
  4. Step 4: Simplify right side
    10,564.88x = 94,014,136.75
  5. Step 5: Solve for x
    x = 94,014,136.75/10,564.88
  6. Step 6: Final answer
    x = 8,898.74

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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.