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Finding the Fourth Proportional to 7,833.88, 10,810.77 and 4,297.12

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Solution

The fourth proportional to 7,833.88, 10,810.77 and 4,297.12 is: 5,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.88 : 10,810.77 = 4,297.12 : x
  2. Step 2: Convert to fraction form
    7,833.88/10,810.77 = 4,297.12/x
  3. Step 3: Cross multiply
    7,833.88x = 10,810.77 × 4,297.12
  4. Step 4: Simplify right side
    7,833.88x = 46,455,175.98
  5. Step 5: Solve for x
    x = 46,455,175.98/7,833.88
  6. Step 6: Final answer
    x = 5,930.03

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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.