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Finding the Fourth Proportional to 10,506.50, 15,749.11 and 6,811.08

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Solution

The fourth proportional to 10,506.50, 15,749.11 and 6,811.08 is: 10,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.50 : 15,749.11 = 6,811.08 : x
  2. Step 2: Convert to fraction form
    10,506.50/15,749.11 = 6,811.08/x
  3. Step 3: Cross multiply
    10,506.50x = 15,749.11 × 6,811.08
  4. Step 4: Simplify right side
    10,506.50x = 107,268,448.14
  5. Step 5: Solve for x
    x = 107,268,448.14/10,506.50
  6. Step 6: Final answer
    x = 10,209.72

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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.