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Finding the Fourth Proportional to 13,303.92, 18,359.46 and 7,998.81

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Solution

The fourth proportional to 13,303.92, 18,359.46 and 7,998.81 is: 11,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.92 : 18,359.46 = 7,998.81 : x
  2. Step 2: Convert to fraction form
    13,303.92/18,359.46 = 7,998.81/x
  3. Step 3: Cross multiply
    13,303.92x = 18,359.46 × 7,998.81
  4. Step 4: Simplify right side
    13,303.92x = 146,853,832.24
  5. Step 5: Solve for x
    x = 146,853,832.24/13,303.92
  6. Step 6: Final answer
    x = 11,038.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.