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Finding the Fourth Proportional to 10,322.10, 14,242.06 and 6,073.35

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Solution

The fourth proportional to 10,322.10, 14,242.06 and 6,073.35 is: 8,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.10 : 14,242.06 = 6,073.35 : x
  2. Step 2: Convert to fraction form
    10,322.10/14,242.06 = 6,073.35/x
  3. Step 3: Cross multiply
    10,322.10x = 14,242.06 × 6,073.35
  4. Step 4: Simplify right side
    10,322.10x = 86,497,015.10
  5. Step 5: Solve for x
    x = 86,497,015.10/10,322.10
  6. Step 6: Final answer
    x = 8,379.79

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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.