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Finding the Fourth Proportional to 10,166, 15,233.25 and 7,052.06

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Solution

The fourth proportional to 10,166, 15,233.25 and 7,052.06 is: 10,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166 : 15,233.25 = 7,052.06 : x
  2. Step 2: Convert to fraction form
    10,166/15,233.25 = 7,052.06/x
  3. Step 3: Cross multiply
    10,166x = 15,233.25 × 7,052.06
  4. Step 4: Simplify right side
    10,166x = 107,425,793.00
  5. Step 5: Solve for x
    x = 107,425,793.00/10,166
  6. Step 6: Final answer
    x = 10,567.16

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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.