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Finding the Fourth Proportional to 10,658.62, 14,706.39 and 6,466.06

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Solution

The fourth proportional to 10,658.62, 14,706.39 and 6,466.06 is: 8,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.62 : 14,706.39 = 6,466.06 : x
  2. Step 2: Convert to fraction form
    10,658.62/14,706.39 = 6,466.06/x
  3. Step 3: Cross multiply
    10,658.62x = 14,706.39 × 6,466.06
  4. Step 4: Simplify right side
    10,658.62x = 95,092,400.12
  5. Step 5: Solve for x
    x = 95,092,400.12/10,658.62
  6. Step 6: Final answer
    x = 8,921.64

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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.