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Finding the Fourth Proportional to 10,219.56, 14,102.64 and 5,743.32

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Solution

The fourth proportional to 10,219.56, 14,102.64 and 5,743.32 is: 7,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.56 : 14,102.64 = 5,743.32 : x
  2. Step 2: Convert to fraction form
    10,219.56/14,102.64 = 5,743.32/x
  3. Step 3: Cross multiply
    10,219.56x = 14,102.64 × 5,743.32
  4. Step 4: Simplify right side
    10,219.56x = 80,995,974.36
  5. Step 5: Solve for x
    x = 80,995,974.36/10,219.56
  6. Step 6: Final answer
    x = 7,925.58

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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.