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Finding the Fourth Proportional to 10,977.54, 15,151.24 and 7,441.89

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Solution

The fourth proportional to 10,977.54, 15,151.24 and 7,441.89 is: 10,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.54 : 15,151.24 = 7,441.89 : x
  2. Step 2: Convert to fraction form
    10,977.54/15,151.24 = 7,441.89/x
  3. Step 3: Cross multiply
    10,977.54x = 15,151.24 × 7,441.89
  4. Step 4: Simplify right side
    10,977.54x = 112,753,772.07
  5. Step 5: Solve for x
    x = 112,753,772.07/10,977.54
  6. Step 6: Final answer
    x = 10,271.32

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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.