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Finding the Fourth Proportional to 10,522.90, 14,492.07 and 10,293.27

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Solution

The fourth proportional to 10,522.90, 14,492.07 and 10,293.27 is: 14,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.90 : 14,492.07 = 10,293.27 : x
  2. Step 2: Convert to fraction form
    10,522.90/14,492.07 = 10,293.27/x
  3. Step 3: Cross multiply
    10,522.90x = 14,492.07 × 10,293.27
  4. Step 4: Simplify right side
    10,522.90x = 149,170,789.37
  5. Step 5: Solve for x
    x = 149,170,789.37/10,522.90
  6. Step 6: Final answer
    x = 14,175.83

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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.