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Finding the Fourth Proportional to 11,624.49, 16,044.75 and 7,440.03

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Solution

The fourth proportional to 11,624.49, 16,044.75 and 7,440.03 is: 10,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.49 : 16,044.75 = 7,440.03 : x
  2. Step 2: Convert to fraction form
    11,624.49/16,044.75 = 7,440.03/x
  3. Step 3: Cross multiply
    11,624.49x = 16,044.75 × 7,440.03
  4. Step 4: Simplify right side
    11,624.49x = 119,373,421.34
  5. Step 5: Solve for x
    x = 119,373,421.34/11,624.49
  6. Step 6: Final answer
    x = 10,269.13

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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.