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Finding the Fourth Proportional to 10,305.50, 15,445.58 and 4,751.13

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Solution

The fourth proportional to 10,305.50, 15,445.58 and 4,751.13 is: 7,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.50 : 15,445.58 = 4,751.13 : x
  2. Step 2: Convert to fraction form
    10,305.50/15,445.58 = 4,751.13/x
  3. Step 3: Cross multiply
    10,305.50x = 15,445.58 × 4,751.13
  4. Step 4: Simplify right side
    10,305.50x = 73,383,934.75
  5. Step 5: Solve for x
    x = 73,383,934.75/10,305.50
  6. Step 6: Final answer
    x = 7,120.85

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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.