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Finding the Fourth Proportional to 11,612.02, 17,402.91 and 4,678.42

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Solution

The fourth proportional to 11,612.02, 17,402.91 and 4,678.42 is: 7,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.02 : 17,402.91 = 4,678.42 : x
  2. Step 2: Convert to fraction form
    11,612.02/17,402.91 = 4,678.42/x
  3. Step 3: Cross multiply
    11,612.02x = 17,402.91 × 4,678.42
  4. Step 4: Simplify right side
    11,612.02x = 81,418,122.20
  5. Step 5: Solve for x
    x = 81,418,122.20/11,612.02
  6. Step 6: Final answer
    x = 7,011.54

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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.