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Finding the Fourth Proportional to 7,452.99, 10,284.30 and 4,468.95

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Solution

The fourth proportional to 7,452.99, 10,284.30 and 4,468.95 is: 6,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.99 : 10,284.30 = 4,468.95 : x
  2. Step 2: Convert to fraction form
    7,452.99/10,284.30 = 4,468.95/x
  3. Step 3: Cross multiply
    7,452.99x = 10,284.30 × 4,468.95
  4. Step 4: Simplify right side
    7,452.99x = 45,960,022.49
  5. Step 5: Solve for x
    x = 45,960,022.49/7,452.99
  6. Step 6: Final answer
    x = 6,166.66

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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.