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Finding the Fourth Proportional to 10,190.53, 14,063.08 and 5,941.47

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Solution

The fourth proportional to 10,190.53, 14,063.08 and 5,941.47 is: 8,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.53 : 14,063.08 = 5,941.47 : x
  2. Step 2: Convert to fraction form
    10,190.53/14,063.08 = 5,941.47/x
  3. Step 3: Cross multiply
    10,190.53x = 14,063.08 × 5,941.47
  4. Step 4: Simplify right side
    10,190.53x = 83,555,417.94
  5. Step 5: Solve for x
    x = 83,555,417.94/10,190.53
  6. Step 6: Final answer
    x = 8,199.32

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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.