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Finding the Fourth Proportional to 7,601.94, 11,406 and 3,439.02

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Solution

The fourth proportional to 7,601.94, 11,406 and 3,439.02 is: 5,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.94 : 11,406 = 3,439.02 : x
  2. Step 2: Convert to fraction form
    7,601.94/11,406 = 3,439.02/x
  3. Step 3: Cross multiply
    7,601.94x = 11,406 × 3,439.02
  4. Step 4: Simplify right side
    7,601.94x = 39,225,462.12
  5. Step 5: Solve for x
    x = 39,225,462.12/7,601.94
  6. Step 6: Final answer
    x = 5,159.93

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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.