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Finding the Fourth Proportional to 11,332.44, 16,998 and 5,090.84

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Solution

The fourth proportional to 11,332.44, 16,998 and 5,090.84 is: 7,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.44 : 16,998 = 5,090.84 : x
  2. Step 2: Convert to fraction form
    11,332.44/16,998 = 5,090.84/x
  3. Step 3: Cross multiply
    11,332.44x = 16,998 × 5,090.84
  4. Step 4: Simplify right side
    11,332.44x = 86,534,098.32
  5. Step 5: Solve for x
    x = 86,534,098.32/11,332.44
  6. Step 6: Final answer
    x = 7,635.96

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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.