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Finding the Fourth Proportional to 10,341.82, 14,271.74 and 5,626.12

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Solution

The fourth proportional to 10,341.82, 14,271.74 and 5,626.12 is: 7,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.82 : 14,271.74 = 5,626.12 : x
  2. Step 2: Convert to fraction form
    10,341.82/14,271.74 = 5,626.12/x
  3. Step 3: Cross multiply
    10,341.82x = 14,271.74 × 5,626.12
  4. Step 4: Simplify right side
    10,341.82x = 80,294,521.85
  5. Step 5: Solve for x
    x = 80,294,521.85/10,341.82
  6. Step 6: Final answer
    x = 7,764.06

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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.