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Finding the Fourth Proportional to 10,323.58, 14,246.82 and 6,074.92

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Solution

The fourth proportional to 10,323.58, 14,246.82 and 6,074.92 is: 8,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.58 : 14,246.82 = 6,074.92 : x
  2. Step 2: Convert to fraction form
    10,323.58/14,246.82 = 6,074.92/x
  3. Step 3: Cross multiply
    10,323.58x = 14,246.82 × 6,074.92
  4. Step 4: Simplify right side
    10,323.58x = 86,548,291.75
  5. Step 5: Solve for x
    x = 86,548,291.75/10,323.58
  6. Step 6: Final answer
    x = 8,383.55

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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.