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Finding the Fourth Proportional to 10,399, 14,354.94 and 7,415.32

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Solution

The fourth proportional to 10,399, 14,354.94 and 7,415.32 is: 10,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399 : 14,354.94 = 7,415.32 : x
  2. Step 2: Convert to fraction form
    10,399/14,354.94 = 7,415.32/x
  3. Step 3: Cross multiply
    10,399x = 14,354.94 × 7,415.32
  4. Step 4: Simplify right side
    10,399x = 106,446,473.68
  5. Step 5: Solve for x
    x = 106,446,473.68/10,399
  6. Step 6: Final answer
    x = 10,236.22

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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.