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Finding the Fourth Proportional to 10,297.93, 14,206.42 and 6,048.92

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Solution

The fourth proportional to 10,297.93, 14,206.42 and 6,048.92 is: 8,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.93 : 14,206.42 = 6,048.92 : x
  2. Step 2: Convert to fraction form
    10,297.93/14,206.42 = 6,048.92/x
  3. Step 3: Cross multiply
    10,297.93x = 14,206.42 × 6,048.92
  4. Step 4: Simplify right side
    10,297.93x = 85,933,498.07
  5. Step 5: Solve for x
    x = 85,933,498.07/10,297.93
  6. Step 6: Final answer
    x = 8,344.74

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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.