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Finding the Fourth Proportional to 10,973.82, 15,139.80 and 7,199.09

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Solution

The fourth proportional to 10,973.82, 15,139.80 and 7,199.09 is: 9,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.82 : 15,139.80 = 7,199.09 : x
  2. Step 2: Convert to fraction form
    10,973.82/15,139.80 = 7,199.09/x
  3. Step 3: Cross multiply
    10,973.82x = 15,139.80 × 7,199.09
  4. Step 4: Simplify right side
    10,973.82x = 108,992,763.86
  5. Step 5: Solve for x
    x = 108,992,763.86/10,973.82
  6. Step 6: Final answer
    x = 9,932.07

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