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Finding the Fourth Proportional to 10,357.68, 14,295.24 and 6,168.36

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Solution

The fourth proportional to 10,357.68, 14,295.24 and 6,168.36 is: 8,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.68 : 14,295.24 = 6,168.36 : x
  2. Step 2: Convert to fraction form
    10,357.68/14,295.24 = 6,168.36/x
  3. Step 3: Cross multiply
    10,357.68x = 14,295.24 × 6,168.36
  4. Step 4: Simplify right side
    10,357.68x = 88,178,186.61
  5. Step 5: Solve for x
    x = 88,178,186.61/10,357.68
  6. Step 6: Final answer
    x = 8,513.31

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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.