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Finding the Fourth Proportional to 11,494.86, 17,242.29 and 7,416.78

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Solution

The fourth proportional to 11,494.86, 17,242.29 and 7,416.78 is: 11,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.86 : 17,242.29 = 7,416.78 : x
  2. Step 2: Convert to fraction form
    11,494.86/17,242.29 = 7,416.78/x
  3. Step 3: Cross multiply
    11,494.86x = 17,242.29 × 7,416.78
  4. Step 4: Simplify right side
    11,494.86x = 127,882,271.63
  5. Step 5: Solve for x
    x = 127,882,271.63/11,494.86
  6. Step 6: Final answer
    x = 11,125.17

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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.