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Finding the Fourth Proportional to 10,504.50, 15,751.65 and 4,953.18

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Solution

The fourth proportional to 10,504.50, 15,751.65 and 4,953.18 is: 7,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.50 : 15,751.65 = 4,953.18 : x
  2. Step 2: Convert to fraction form
    10,504.50/15,751.65 = 4,953.18/x
  3. Step 3: Cross multiply
    10,504.50x = 15,751.65 × 4,953.18
  4. Step 4: Simplify right side
    10,504.50x = 78,020,757.75
  5. Step 5: Solve for x
    x = 78,020,757.75/10,504.50
  6. Step 6: Final answer
    x = 7,427.37

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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.