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Finding the Fourth Proportional to 7,029.99, 9,698.47 and 4,511.57

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Solution

The fourth proportional to 7,029.99, 9,698.47 and 4,511.57 is: 6,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.99 : 9,698.47 = 4,511.57 : x
  2. Step 2: Convert to fraction form
    7,029.99/9,698.47 = 4,511.57/x
  3. Step 3: Cross multiply
    7,029.99x = 9,698.47 × 4,511.57
  4. Step 4: Simplify right side
    7,029.99x = 43,755,266.53
  5. Step 5: Solve for x
    x = 43,755,266.53/7,029.99
  6. Step 6: Final answer
    x = 6,224.09

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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.