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Finding the Fourth Proportional to 10,442.17, 15,662.54 and 4,896.75

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Solution

The fourth proportional to 10,442.17, 15,662.54 and 4,896.75 is: 7,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.17 : 15,662.54 = 4,896.75 : x
  2. Step 2: Convert to fraction form
    10,442.17/15,662.54 = 4,896.75/x
  3. Step 3: Cross multiply
    10,442.17x = 15,662.54 × 4,896.75
  4. Step 4: Simplify right side
    10,442.17x = 76,695,554.99
  5. Step 5: Solve for x
    x = 76,695,554.99/10,442.17
  6. Step 6: Final answer
    x = 7,344.79

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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.