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Finding the Fourth Proportional to 10,168.52, 15,225.03 and 7,695.86

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Solution

The fourth proportional to 10,168.52, 15,225.03 and 7,695.86 is: 11,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.52 : 15,225.03 = 7,695.86 : x
  2. Step 2: Convert to fraction form
    10,168.52/15,225.03 = 7,695.86/x
  3. Step 3: Cross multiply
    10,168.52x = 15,225.03 × 7,695.86
  4. Step 4: Simplify right side
    10,168.52x = 117,169,623.25
  5. Step 5: Solve for x
    x = 117,169,623.25/10,168.52
  6. Step 6: Final answer
    x = 11,522.79

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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.