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Finding the Fourth Proportional to 7,053.96, 10,578.47 and 2,122.32

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Solution

The fourth proportional to 7,053.96, 10,578.47 and 2,122.32 is: 3,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.96 : 10,578.47 = 2,122.32 : x
  2. Step 2: Convert to fraction form
    7,053.96/10,578.47 = 2,122.32/x
  3. Step 3: Cross multiply
    7,053.96x = 10,578.47 × 2,122.32
  4. Step 4: Simplify right side
    7,053.96x = 22,450,887.84
  5. Step 5: Solve for x
    x = 22,450,887.84/7,053.96
  6. Step 6: Final answer
    x = 3,182.74

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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.