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Finding the Fourth Proportional to 10,406.92, 15,601.74 and 4,857.34

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Solution

The fourth proportional to 10,406.92, 15,601.74 and 4,857.34 is: 7,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.92 : 15,601.74 = 4,857.34 : x
  2. Step 2: Convert to fraction form
    10,406.92/15,601.74 = 4,857.34/x
  3. Step 3: Cross multiply
    10,406.92x = 15,601.74 × 4,857.34
  4. Step 4: Simplify right side
    10,406.92x = 75,782,955.77
  5. Step 5: Solve for x
    x = 75,782,955.77/10,406.92
  6. Step 6: Final answer
    x = 7,281.98

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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.