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Finding the Fourth Proportional to 10,609.28, 15,910 and 4,032.16

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Solution

The fourth proportional to 10,609.28, 15,910 and 4,032.16 is: 6,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.28 : 15,910 = 4,032.16 : x
  2. Step 2: Convert to fraction form
    10,609.28/15,910 = 4,032.16/x
  3. Step 3: Cross multiply
    10,609.28x = 15,910 × 4,032.16
  4. Step 4: Simplify right side
    10,609.28x = 64,151,665.60
  5. Step 5: Solve for x
    x = 64,151,665.60/10,609.28
  6. Step 6: Final answer
    x = 6,046.75

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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.