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Finding the Fourth Proportional to 10,252.50, 14,112.27 and 7,415.27

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Solution

The fourth proportional to 10,252.50, 14,112.27 and 7,415.27 is: 10,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.50 : 14,112.27 = 7,415.27 : x
  2. Step 2: Convert to fraction form
    10,252.50/14,112.27 = 7,415.27/x
  3. Step 3: Cross multiply
    10,252.50x = 14,112.27 × 7,415.27
  4. Step 4: Simplify right side
    10,252.50x = 104,646,292.36
  5. Step 5: Solve for x
    x = 104,646,292.36/10,252.50
  6. Step 6: Final answer
    x = 10,206.90

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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.