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Finding the Fourth Proportional to 11,491.96, 15,858.13 and 6,456.67

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Solution

The fourth proportional to 11,491.96, 15,858.13 and 6,456.67 is: 8,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.96 : 15,858.13 = 6,456.67 : x
  2. Step 2: Convert to fraction form
    11,491.96/15,858.13 = 6,456.67/x
  3. Step 3: Cross multiply
    11,491.96x = 15,858.13 × 6,456.67
  4. Step 4: Simplify right side
    11,491.96x = 102,390,712.23
  5. Step 5: Solve for x
    x = 102,390,712.23/11,491.96
  6. Step 6: Final answer
    x = 8,909.77

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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.