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Finding the Fourth Proportional to 6,211.86, 9,315.82 and 2,051.10

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Solution

The fourth proportional to 6,211.86, 9,315.82 and 2,051.10 is: 3,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.86 : 9,315.82 = 2,051.10 : x
  2. Step 2: Convert to fraction form
    6,211.86/9,315.82 = 2,051.10/x
  3. Step 3: Cross multiply
    6,211.86x = 9,315.82 × 2,051.10
  4. Step 4: Simplify right side
    6,211.86x = 19,107,678.40
  5. Step 5: Solve for x
    x = 19,107,678.40/6,211.86
  6. Step 6: Final answer
    x = 3,076.00

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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.