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Finding the Fourth Proportional to 7,448.92, 11,175.48 and 6,075.24

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Solution

The fourth proportional to 7,448.92, 11,175.48 and 6,075.24 is: 9,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.92 : 11,175.48 = 6,075.24 : x
  2. Step 2: Convert to fraction form
    7,448.92/11,175.48 = 6,075.24/x
  3. Step 3: Cross multiply
    7,448.92x = 11,175.48 × 6,075.24
  4. Step 4: Simplify right side
    7,448.92x = 67,893,723.12
  5. Step 5: Solve for x
    x = 67,893,723.12/7,448.92
  6. Step 6: Final answer
    x = 9,114.57

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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.