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Finding the Fourth Proportional to 10,494, 14,480.42 and 7,098.42

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Solution

The fourth proportional to 10,494, 14,480.42 and 7,098.42 is: 9,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 14,480.42 = 7,098.42 : x
  2. Step 2: Convert to fraction form
    10,494/14,480.42 = 7,098.42/x
  3. Step 3: Cross multiply
    10,494x = 14,480.42 × 7,098.42
  4. Step 4: Simplify right side
    10,494x = 102,788,102.94
  5. Step 5: Solve for x
    x = 102,788,102.94/10,494
  6. Step 6: Final answer
    x = 9,794.94

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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.