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Finding the Fourth Proportional to 15,160.16, 22,741 and 4,772

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Solution

The fourth proportional to 15,160.16, 22,741 and 4,772 is: 7,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160.16 : 22,741 = 4,772 : x
  2. Step 2: Convert to fraction form
    15,160.16/22,741 = 4,772/x
  3. Step 3: Cross multiply
    15,160.16x = 22,741 × 4,772
  4. Step 4: Simplify right side
    15,160.16x = 108,520,052
  5. Step 5: Solve for x
    x = 108,520,052/15,160.16
  6. Step 6: Final answer
    x = 7,158.24

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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.