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Finding the Fourth Proportional to 11,803.20, 16,288.32 and 7,090.20

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Solution

The fourth proportional to 11,803.20, 16,288.32 and 7,090.20 is: 9,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.20 : 16,288.32 = 7,090.20 : x
  2. Step 2: Convert to fraction form
    11,803.20/16,288.32 = 7,090.20/x
  3. Step 3: Cross multiply
    11,803.20x = 16,288.32 × 7,090.20
  4. Step 4: Simplify right side
    11,803.20x = 115,487,446.46
  5. Step 5: Solve for x
    x = 115,487,446.46/11,803.20
  6. Step 6: Final answer
    x = 9,784.42

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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.