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Finding the Fourth Proportional to 7,832.25, 10,810.94 and 5,037.75

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Solution

The fourth proportional to 7,832.25, 10,810.94 and 5,037.75 is: 6,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.25 : 10,810.94 = 5,037.75 : x
  2. Step 2: Convert to fraction form
    7,832.25/10,810.94 = 5,037.75/x
  3. Step 3: Cross multiply
    7,832.25x = 10,810.94 × 5,037.75
  4. Step 4: Simplify right side
    7,832.25x = 54,462,787.80
  5. Step 5: Solve for x
    x = 54,462,787.80/7,832.25
  6. Step 6: Final answer
    x = 6,953.66

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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.