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Finding the Fourth Proportional to 8,749.81, 13,123.90 and 3,202.93

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Solution

The fourth proportional to 8,749.81, 13,123.90 and 3,202.93 is: 4,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.81 : 13,123.90 = 3,202.93 : x
  2. Step 2: Convert to fraction form
    8,749.81/13,123.90 = 3,202.93/x
  3. Step 3: Cross multiply
    8,749.81x = 13,123.90 × 3,202.93
  4. Step 4: Simplify right side
    8,749.81x = 42,034,933.03
  5. Step 5: Solve for x
    x = 42,034,933.03/8,749.81
  6. Step 6: Final answer
    x = 4,804.10

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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.