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Finding the Fourth Proportional to 10,619.78, 14,655.67 and 5,840.09

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Solution

The fourth proportional to 10,619.78, 14,655.67 and 5,840.09 is: 8,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.78 : 14,655.67 = 5,840.09 : x
  2. Step 2: Convert to fraction form
    10,619.78/14,655.67 = 5,840.09/x
  3. Step 3: Cross multiply
    10,619.78x = 14,655.67 × 5,840.09
  4. Step 4: Simplify right side
    10,619.78x = 85,590,431.81
  5. Step 5: Solve for x
    x = 85,590,431.81/10,619.78
  6. Step 6: Final answer
    x = 8,059.53

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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.