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Finding the Fourth Proportional to 10,722.42, 14,796.50 and 6,246.16

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Solution

The fourth proportional to 10,722.42, 14,796.50 and 6,246.16 is: 8,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.42 : 14,796.50 = 6,246.16 : x
  2. Step 2: Convert to fraction form
    10,722.42/14,796.50 = 6,246.16/x
  3. Step 3: Cross multiply
    10,722.42x = 14,796.50 × 6,246.16
  4. Step 4: Simplify right side
    10,722.42x = 92,421,238.22
  5. Step 5: Solve for x
    x = 92,421,238.22/10,722.42
  6. Step 6: Final answer
    x = 8,619.44

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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.