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Finding the Fourth Proportional to 8,434.71, 11,639.84 and 4,658.12

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Solution

The fourth proportional to 8,434.71, 11,639.84 and 4,658.12 is: 6,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.71 : 11,639.84 = 4,658.12 : x
  2. Step 2: Convert to fraction form
    8,434.71/11,639.84 = 4,658.12/x
  3. Step 3: Cross multiply
    8,434.71x = 11,639.84 × 4,658.12
  4. Step 4: Simplify right side
    8,434.71x = 54,219,771.50
  5. Step 5: Solve for x
    x = 54,219,771.50/8,434.71
  6. Step 6: Final answer
    x = 6,428.17

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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.