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Finding the Fourth Proportional to 8,434.94, 11,639.93 and 4,658.04

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Solution

The fourth proportional to 8,434.94, 11,639.93 and 4,658.04 is: 6,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.94 : 11,639.93 = 4,658.04 : x
  2. Step 2: Convert to fraction form
    8,434.94/11,639.93 = 4,658.04/x
  3. Step 3: Cross multiply
    8,434.94x = 11,639.93 × 4,658.04
  4. Step 4: Simplify right side
    8,434.94x = 54,219,236.25
  5. Step 5: Solve for x
    x = 54,219,236.25/8,434.94
  6. Step 6: Final answer
    x = 6,427.94

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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.