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Finding the Fourth Proportional to 10,056.56, 13,868.31 and 6,699.51

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Solution

The fourth proportional to 10,056.56, 13,868.31 and 6,699.51 is: 9,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.56 : 13,868.31 = 6,699.51 : x
  2. Step 2: Convert to fraction form
    10,056.56/13,868.31 = 6,699.51/x
  3. Step 3: Cross multiply
    10,056.56x = 13,868.31 × 6,699.51
  4. Step 4: Simplify right side
    10,056.56x = 92,910,906.65
  5. Step 5: Solve for x
    x = 92,910,906.65/10,056.56
  6. Step 6: Final answer
    x = 9,238.84

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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.