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Finding the Fourth Proportional to 10,674.90, 16,001.40 and 4,438.53

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Solution

The fourth proportional to 10,674.90, 16,001.40 and 4,438.53 is: 6,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.90 : 16,001.40 = 4,438.53 : x
  2. Step 2: Convert to fraction form
    10,674.90/16,001.40 = 4,438.53/x
  3. Step 3: Cross multiply
    10,674.90x = 16,001.40 × 4,438.53
  4. Step 4: Simplify right side
    10,674.90x = 71,022,693.94
  5. Step 5: Solve for x
    x = 71,022,693.94/10,674.90
  6. Step 6: Final answer
    x = 6,653.24

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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.