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Finding the Fourth Proportional to 10,658.72, 14,708.56 and 7,121.44

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Solution

The fourth proportional to 10,658.72, 14,708.56 and 7,121.44 is: 9,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.72 : 14,708.56 = 7,121.44 : x
  2. Step 2: Convert to fraction form
    10,658.72/14,708.56 = 7,121.44/x
  3. Step 3: Cross multiply
    10,658.72x = 14,708.56 × 7,121.44
  4. Step 4: Simplify right side
    10,658.72x = 104,746,127.53
  5. Step 5: Solve for x
    x = 104,746,127.53/10,658.72
  6. Step 6: Final answer
    x = 9,827.27

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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.