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Finding the Fourth Proportional to 10,538.06, 15,792.05 and 7,224.75

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Solution

The fourth proportional to 10,538.06, 15,792.05 and 7,224.75 is: 10,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.06 : 15,792.05 = 7,224.75 : x
  2. Step 2: Convert to fraction form
    10,538.06/15,792.05 = 7,224.75/x
  3. Step 3: Cross multiply
    10,538.06x = 15,792.05 × 7,224.75
  4. Step 4: Simplify right side
    10,538.06x = 114,093,577.11
  5. Step 5: Solve for x
    x = 114,093,577.11/10,538.06
  6. Step 6: Final answer
    x = 10,826.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.