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Finding the Fourth Proportional to 15,125.94, 22,688.91 and 4,738.50

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Solution

The fourth proportional to 15,125.94, 22,688.91 and 4,738.50 is: 7,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,125.94 : 22,688.91 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    15,125.94/22,688.91 = 4,738.50/x
  3. Step 3: Cross multiply
    15,125.94x = 22,688.91 × 4,738.50
  4. Step 4: Simplify right side
    15,125.94x = 107,511,400.04
  5. Step 5: Solve for x
    x = 107,511,400.04/15,125.94
  6. Step 6: Final answer
    x = 7,107.75

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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.