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Finding the Fourth Proportional to 10,172, 14,036.59 and 6,192.67

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Solution

The fourth proportional to 10,172, 14,036.59 and 6,192.67 is: 8,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172 : 14,036.59 = 6,192.67 : x
  2. Step 2: Convert to fraction form
    10,172/14,036.59 = 6,192.67/x
  3. Step 3: Cross multiply
    10,172x = 14,036.59 × 6,192.67
  4. Step 4: Simplify right side
    10,172x = 86,923,969.80
  5. Step 5: Solve for x
    x = 86,923,969.80/10,172
  6. Step 6: Final answer
    x = 8,545.42

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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.