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Finding the Fourth Proportional to 11,774.27, 16,248.06 and 6,468.77

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Solution

The fourth proportional to 11,774.27, 16,248.06 and 6,468.77 is: 8,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.27 : 16,248.06 = 6,468.77 : x
  2. Step 2: Convert to fraction form
    11,774.27/16,248.06 = 6,468.77/x
  3. Step 3: Cross multiply
    11,774.27x = 16,248.06 × 6,468.77
  4. Step 4: Simplify right side
    11,774.27x = 105,105,003.71
  5. Step 5: Solve for x
    x = 105,105,003.71/11,774.27
  6. Step 6: Final answer
    x = 8,926.67

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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.