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Finding the Fourth Proportional to 10,323.63, 14,246.64 and 6,074.85

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Solution

The fourth proportional to 10,323.63, 14,246.64 and 6,074.85 is: 8,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.63 : 14,246.64 = 6,074.85 : x
  2. Step 2: Convert to fraction form
    10,323.63/14,246.64 = 6,074.85/x
  3. Step 3: Cross multiply
    10,323.63x = 14,246.64 × 6,074.85
  4. Step 4: Simplify right side
    10,323.63x = 86,546,201.00
  5. Step 5: Solve for x
    x = 86,546,201.00/10,323.63
  6. Step 6: Final answer
    x = 8,383.32

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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.