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Finding the Fourth Proportional to 10,322.98, 14,245.97 and 5,846.66

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Solution

The fourth proportional to 10,322.98, 14,245.97 and 5,846.66 is: 8,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.98 : 14,245.97 = 5,846.66 : x
  2. Step 2: Convert to fraction form
    10,322.98/14,245.97 = 5,846.66/x
  3. Step 3: Cross multiply
    10,322.98x = 14,245.97 × 5,846.66
  4. Step 4: Simplify right side
    10,322.98x = 83,291,393.19
  5. Step 5: Solve for x
    x = 83,291,393.19/10,322.98
  6. Step 6: Final answer
    x = 8,068.54

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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.