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Finding the Fourth Proportional to 10,513, 15,767.88 and 3,496.08

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Solution

The fourth proportional to 10,513, 15,767.88 and 3,496.08 is: 5,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513 : 15,767.88 = 3,496.08 : x
  2. Step 2: Convert to fraction form
    10,513/15,767.88 = 3,496.08/x
  3. Step 3: Cross multiply
    10,513x = 15,767.88 × 3,496.08
  4. Step 4: Simplify right side
    10,513x = 55,125,769.91
  5. Step 5: Solve for x
    x = 55,125,769.91/10,513
  6. Step 6: Final answer
    x = 5,243.58

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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.