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Finding the Fourth Proportional to 10,505.63, 15,758.42 and 3,109.50

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Solution

The fourth proportional to 10,505.63, 15,758.42 and 3,109.50 is: 4,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.63 : 15,758.42 = 3,109.50 : x
  2. Step 2: Convert to fraction form
    10,505.63/15,758.42 = 3,109.50/x
  3. Step 3: Cross multiply
    10,505.63x = 15,758.42 × 3,109.50
  4. Step 4: Simplify right side
    10,505.63x = 49,000,806.99
  5. Step 5: Solve for x
    x = 49,000,806.99/10,505.63
  6. Step 6: Final answer
    x = 4,664.24

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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.