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Finding the Fourth Proportional to 10,451.03, 14,414.32 and 7,264.25

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Solution

The fourth proportional to 10,451.03, 14,414.32 and 7,264.25 is: 10,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.03 : 14,414.32 = 7,264.25 : x
  2. Step 2: Convert to fraction form
    10,451.03/14,414.32 = 7,264.25/x
  3. Step 3: Cross multiply
    10,451.03x = 14,414.32 × 7,264.25
  4. Step 4: Simplify right side
    10,451.03x = 104,709,215.12
  5. Step 5: Solve for x
    x = 104,709,215.12/10,451.03
  6. Step 6: Final answer
    x = 10,019.04

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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.