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Finding the Fourth Proportional to 10,744.38, 16,089.03 and 6,364.98

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Solution

The fourth proportional to 10,744.38, 16,089.03 and 6,364.98 is: 9,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.38 : 16,089.03 = 6,364.98 : x
  2. Step 2: Convert to fraction form
    10,744.38/16,089.03 = 6,364.98/x
  3. Step 3: Cross multiply
    10,744.38x = 16,089.03 × 6,364.98
  4. Step 4: Simplify right side
    10,744.38x = 102,406,354.17
  5. Step 5: Solve for x
    x = 102,406,354.17/10,744.38
  6. Step 6: Final answer
    x = 9,531.16

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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.