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Finding the Fourth Proportional to 10,534.82, 15,789.63 and 4,904.90

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Solution

The fourth proportional to 10,534.82, 15,789.63 and 4,904.90 is: 7,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.82 : 15,789.63 = 4,904.90 : x
  2. Step 2: Convert to fraction form
    10,534.82/15,789.63 = 4,904.90/x
  3. Step 3: Cross multiply
    10,534.82x = 15,789.63 × 4,904.90
  4. Step 4: Simplify right side
    10,534.82x = 77,446,556.19
  5. Step 5: Solve for x
    x = 77,446,556.19/10,534.82
  6. Step 6: Final answer
    x = 7,351.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.