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Finding the Fourth Proportional to 7,578.87, 11,361.57 and 4,070.76

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Solution

The fourth proportional to 7,578.87, 11,361.57 and 4,070.76 is: 6,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.87 : 11,361.57 = 4,070.76 : x
  2. Step 2: Convert to fraction form
    7,578.87/11,361.57 = 4,070.76/x
  3. Step 3: Cross multiply
    7,578.87x = 11,361.57 × 4,070.76
  4. Step 4: Simplify right side
    7,578.87x = 46,250,166.82
  5. Step 5: Solve for x
    x = 46,250,166.82/7,578.87
  6. Step 6: Final answer
    x = 6,102.52

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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.