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Finding the Fourth Proportional to 10,850.56, 14,973.86 and 6,374.50

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Solution

The fourth proportional to 10,850.56, 14,973.86 and 6,374.50 is: 8,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.56 : 14,973.86 = 6,374.50 : x
  2. Step 2: Convert to fraction form
    10,850.56/14,973.86 = 6,374.50/x
  3. Step 3: Cross multiply
    10,850.56x = 14,973.86 × 6,374.50
  4. Step 4: Simplify right side
    10,850.56x = 95,450,849.07
  5. Step 5: Solve for x
    x = 95,450,849.07/10,850.56
  6. Step 6: Final answer
    x = 8,796.86

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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.