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Finding the Fourth Proportional to 10,297.23, 14,207.78 and 6,048.06

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Solution

The fourth proportional to 10,297.23, 14,207.78 and 6,048.06 is: 8,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.23 : 14,207.78 = 6,048.06 : x
  2. Step 2: Convert to fraction form
    10,297.23/14,207.78 = 6,048.06/x
  3. Step 3: Cross multiply
    10,297.23x = 14,207.78 × 6,048.06
  4. Step 4: Simplify right side
    10,297.23x = 85,929,475.67
  5. Step 5: Solve for x
    x = 85,929,475.67/10,297.23
  6. Step 6: Final answer
    x = 8,344.91

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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.