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Finding the Fourth Proportional to 7,642.46, 10,546.59 and 4,658.29

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Solution

The fourth proportional to 7,642.46, 10,546.59 and 4,658.29 is: 6,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.46 : 10,546.59 = 4,658.29 : x
  2. Step 2: Convert to fraction form
    7,642.46/10,546.59 = 4,658.29/x
  3. Step 3: Cross multiply
    7,642.46x = 10,546.59 × 4,658.29
  4. Step 4: Simplify right side
    7,642.46x = 49,129,048.36
  5. Step 5: Solve for x
    x = 49,129,048.36/7,642.46
  6. Step 6: Final answer
    x = 6,428.43

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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.