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Finding the Fourth Proportional to 11,622.38, 16,047.95 and 7,148.12

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Solution

The fourth proportional to 11,622.38, 16,047.95 and 7,148.12 is: 9,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.38 : 16,047.95 = 7,148.12 : x
  2. Step 2: Convert to fraction form
    11,622.38/16,047.95 = 7,148.12/x
  3. Step 3: Cross multiply
    11,622.38x = 16,047.95 × 7,148.12
  4. Step 4: Simplify right side
    11,622.38x = 114,712,556.37
  5. Step 5: Solve for x
    x = 114,712,556.37/11,622.38
  6. Step 6: Final answer
    x = 9,869.98

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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.