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Finding the Fourth Proportional to 10,367.68, 14,309.04 and 6,178.36

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Solution

The fourth proportional to 10,367.68, 14,309.04 and 6,178.36 is: 8,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.68 : 14,309.04 = 6,178.36 : x
  2. Step 2: Convert to fraction form
    10,367.68/14,309.04 = 6,178.36/x
  3. Step 3: Cross multiply
    10,367.68x = 14,309.04 × 6,178.36
  4. Step 4: Simplify right side
    10,367.68x = 88,406,400.37
  5. Step 5: Solve for x
    x = 88,406,400.37/10,367.68
  6. Step 6: Final answer
    x = 8,527.12

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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.