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Finding the Fourth Proportional to 10,916, 15,064.08 and 5,948

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Solution

The fourth proportional to 10,916, 15,064.08 and 5,948 is: 8,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916 : 15,064.08 = 5,948 : x
  2. Step 2: Convert to fraction form
    10,916/15,064.08 = 5,948/x
  3. Step 3: Cross multiply
    10,916x = 15,064.08 × 5,948
  4. Step 4: Simplify right side
    10,916x = 89,601,147.84
  5. Step 5: Solve for x
    x = 89,601,147.84/10,916
  6. Step 6: Final answer
    x = 8,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.