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Finding the Fourth Proportional to 8,435.34, 11,640.57 and 4,658.43

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Solution

The fourth proportional to 8,435.34, 11,640.57 and 4,658.43 is: 6,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.34 : 11,640.57 = 4,658.43 : x
  2. Step 2: Convert to fraction form
    8,435.34/11,640.57 = 4,658.43/x
  3. Step 3: Cross multiply
    8,435.34x = 11,640.57 × 4,658.43
  4. Step 4: Simplify right side
    8,435.34x = 54,226,780.51
  5. Step 5: Solve for x
    x = 54,226,780.51/8,435.34
  6. Step 6: Final answer
    x = 6,428.52

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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.