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Finding the Fourth Proportional to 7,578.68, 10,456.98 and 4,434.24

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Solution

The fourth proportional to 7,578.68, 10,456.98 and 4,434.24 is: 6,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.68 : 10,456.98 = 4,434.24 : x
  2. Step 2: Convert to fraction form
    7,578.68/10,456.98 = 4,434.24/x
  3. Step 3: Cross multiply
    7,578.68x = 10,456.98 × 4,434.24
  4. Step 4: Simplify right side
    7,578.68x = 46,368,759.00
  5. Step 5: Solve for x
    x = 46,368,759.00/7,578.68
  6. Step 6: Final answer
    x = 6,118.32

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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.