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Finding the Fourth Proportional to 11,392.16, 17,085.47 and 4,814.78

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Solution

The fourth proportional to 11,392.16, 17,085.47 and 4,814.78 is: 7,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.16 : 17,085.47 = 4,814.78 : x
  2. Step 2: Convert to fraction form
    11,392.16/17,085.47 = 4,814.78/x
  3. Step 3: Cross multiply
    11,392.16x = 17,085.47 × 4,814.78
  4. Step 4: Simplify right side
    11,392.16x = 82,262,669.75
  5. Step 5: Solve for x
    x = 82,262,669.75/11,392.16
  6. Step 6: Final answer
    x = 7,220.99

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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.