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Finding the Fourth Proportional to 10,164.68, 14,023.14 and 6,182.60

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Solution

The fourth proportional to 10,164.68, 14,023.14 and 6,182.60 is: 8,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.68 : 14,023.14 = 6,182.60 : x
  2. Step 2: Convert to fraction form
    10,164.68/14,023.14 = 6,182.60/x
  3. Step 3: Cross multiply
    10,164.68x = 14,023.14 × 6,182.60
  4. Step 4: Simplify right side
    10,164.68x = 86,699,465.36
  5. Step 5: Solve for x
    x = 86,699,465.36/10,164.68
  6. Step 6: Final answer
    x = 8,529.48

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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.