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Finding the Fourth Proportional to 8,071.70, 11,144.33 and 5,051.40

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Solution

The fourth proportional to 8,071.70, 11,144.33 and 5,051.40 is: 6,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.70 : 11,144.33 = 5,051.40 : x
  2. Step 2: Convert to fraction form
    8,071.70/11,144.33 = 5,051.40/x
  3. Step 3: Cross multiply
    8,071.70x = 11,144.33 × 5,051.40
  4. Step 4: Simplify right side
    8,071.70x = 56,294,443.31
  5. Step 5: Solve for x
    x = 56,294,443.31/8,071.70
  6. Step 6: Final answer
    x = 6,974.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.