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Finding the Fourth Proportional to 10,965.90, 16,448.49 and 4,390.32

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Solution

The fourth proportional to 10,965.90, 16,448.49 and 4,390.32 is: 6,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.90 : 16,448.49 = 4,390.32 : x
  2. Step 2: Convert to fraction form
    10,965.90/16,448.49 = 4,390.32/x
  3. Step 3: Cross multiply
    10,965.90x = 16,448.49 × 4,390.32
  4. Step 4: Simplify right side
    10,965.90x = 72,214,134.62
  5. Step 5: Solve for x
    x = 72,214,134.62/10,965.90
  6. Step 6: Final answer
    x = 6,585.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.