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Finding the Fourth Proportional to 12,137.45, 16,749.84 and 7,104.61

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Solution

The fourth proportional to 12,137.45, 16,749.84 and 7,104.61 is: 9,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.45 : 16,749.84 = 7,104.61 : x
  2. Step 2: Convert to fraction form
    12,137.45/16,749.84 = 7,104.61/x
  3. Step 3: Cross multiply
    12,137.45x = 16,749.84 × 7,104.61
  4. Step 4: Simplify right side
    12,137.45x = 119,001,088.38
  5. Step 5: Solve for x
    x = 119,001,088.38/12,137.45
  6. Step 6: Final answer
    x = 9,804.46

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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.