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Finding the Fourth Proportional to 12,492.14, 17,249.10 and 7,719

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Solution

The fourth proportional to 12,492.14, 17,249.10 and 7,719 is: 10,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.14 : 17,249.10 = 7,719 : x
  2. Step 2: Convert to fraction form
    12,492.14/17,249.10 = 7,719/x
  3. Step 3: Cross multiply
    12,492.14x = 17,249.10 × 7,719
  4. Step 4: Simplify right side
    12,492.14x = 133,145,802.90
  5. Step 5: Solve for x
    x = 133,145,802.90/12,492.14
  6. Step 6: Final answer
    x = 10,658.37

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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.