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Finding the Fourth Proportional to 10,214.72, 14,077.92 and 7,415.36

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Solution

The fourth proportional to 10,214.72, 14,077.92 and 7,415.36 is: 10,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.72 : 14,077.92 = 7,415.36 : x
  2. Step 2: Convert to fraction form
    10,214.72/14,077.92 = 7,415.36/x
  3. Step 3: Cross multiply
    10,214.72x = 14,077.92 × 7,415.36
  4. Step 4: Simplify right side
    10,214.72x = 104,392,844.85
  5. Step 5: Solve for x
    x = 104,392,844.85/10,214.72
  6. Step 6: Final answer
    x = 10,219.84

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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.