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Finding the Fourth Proportional to 10,244.50, 14,120.41 and 7,256.50

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Solution

The fourth proportional to 10,244.50, 14,120.41 and 7,256.50 is: 10,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.50 : 14,120.41 = 7,256.50 : x
  2. Step 2: Convert to fraction form
    10,244.50/14,120.41 = 7,256.50/x
  3. Step 3: Cross multiply
    10,244.50x = 14,120.41 × 7,256.50
  4. Step 4: Simplify right side
    10,244.50x = 102,464,648.28
  5. Step 5: Solve for x
    x = 102,464,648.28/10,244.50
  6. Step 6: Final answer
    x = 10,001.92

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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.