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Finding the Fourth Proportional to 11,488.23, 15,849.72 and 7,511.67

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Solution

The fourth proportional to 11,488.23, 15,849.72 and 7,511.67 is: 10,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.23 : 15,849.72 = 7,511.67 : x
  2. Step 2: Convert to fraction form
    11,488.23/15,849.72 = 7,511.67/x
  3. Step 3: Cross multiply
    11,488.23x = 15,849.72 × 7,511.67
  4. Step 4: Simplify right side
    11,488.23x = 119,057,866.23
  5. Step 5: Solve for x
    x = 119,057,866.23/11,488.23
  6. Step 6: Final answer
    x = 10,363.46

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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.