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Finding the Fourth Proportional to 11,303.81, 16,929.05 and 5,743.36

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Solution

The fourth proportional to 11,303.81, 16,929.05 and 5,743.36 is: 8,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.81 : 16,929.05 = 5,743.36 : x
  2. Step 2: Convert to fraction form
    11,303.81/16,929.05 = 5,743.36/x
  3. Step 3: Cross multiply
    11,303.81x = 16,929.05 × 5,743.36
  4. Step 4: Simplify right side
    11,303.81x = 97,229,557.57
  5. Step 5: Solve for x
    x = 97,229,557.57/11,303.81
  6. Step 6: Final answer
    x = 8,601.49

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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.