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Finding the Fourth Proportional to 11,294, 16,951.80 and 4,718.44

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Solution

The fourth proportional to 11,294, 16,951.80 and 4,718.44 is: 7,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 16,951.80 = 4,718.44 : x
  2. Step 2: Convert to fraction form
    11,294/16,951.80 = 4,718.44/x
  3. Step 3: Cross multiply
    11,294x = 16,951.80 × 4,718.44
  4. Step 4: Simplify right side
    11,294x = 79,986,051.19
  5. Step 5: Solve for x
    x = 79,986,051.19/11,294
  6. Step 6: Final answer
    x = 7,082.17

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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.