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Finding the Fourth Proportional to 8,271.44, 11,417.28 and 5,626.88

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Solution

The fourth proportional to 8,271.44, 11,417.28 and 5,626.88 is: 7,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.44 : 11,417.28 = 5,626.88 : x
  2. Step 2: Convert to fraction form
    8,271.44/11,417.28 = 5,626.88/x
  3. Step 3: Cross multiply
    8,271.44x = 11,417.28 × 5,626.88
  4. Step 4: Simplify right side
    8,271.44x = 64,243,664.49
  5. Step 5: Solve for x
    x = 64,243,664.49/8,271.44
  6. Step 6: Final answer
    x = 7,766.93

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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.