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Finding the Fourth Proportional to 11,462.96, 17,192.54 and 7,019.10

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Solution

The fourth proportional to 11,462.96, 17,192.54 and 7,019.10 is: 10,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.96 : 17,192.54 = 7,019.10 : x
  2. Step 2: Convert to fraction form
    11,462.96/17,192.54 = 7,019.10/x
  3. Step 3: Cross multiply
    11,462.96x = 17,192.54 × 7,019.10
  4. Step 4: Simplify right side
    11,462.96x = 120,676,157.51
  5. Step 5: Solve for x
    x = 120,676,157.51/11,462.96
  6. Step 6: Final answer
    x = 10,527.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.