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Finding the Fourth Proportional to 11,286, 16,939.80 and 4,710.42

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Solution

The fourth proportional to 11,286, 16,939.80 and 4,710.42 is: 7,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 16,939.80 = 4,710.42 : x
  2. Step 2: Convert to fraction form
    11,286/16,939.80 = 4,710.42/x
  3. Step 3: Cross multiply
    11,286x = 16,939.80 × 4,710.42
  4. Step 4: Simplify right side
    11,286x = 79,793,572.72
  5. Step 5: Solve for x
    x = 79,793,572.72/11,286
  6. Step 6: Final answer
    x = 7,070.14

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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.