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Finding the Fourth Proportional to 7,029.99, 10,538.10 and 3,911.49

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Solution

The fourth proportional to 7,029.99, 10,538.10 and 3,911.49 is: 5,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.99 : 10,538.10 = 3,911.49 : x
  2. Step 2: Convert to fraction form
    7,029.99/10,538.10 = 3,911.49/x
  3. Step 3: Cross multiply
    7,029.99x = 10,538.10 × 3,911.49
  4. Step 4: Simplify right side
    7,029.99x = 41,219,672.77
  5. Step 5: Solve for x
    x = 41,219,672.77/7,029.99
  6. Step 6: Final answer
    x = 5,863.40

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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.