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Finding the Fourth Proportional to 11,780.96, 16,258.05 and 6,476.13

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Solution

The fourth proportional to 11,780.96, 16,258.05 and 6,476.13 is: 8,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.96 : 16,258.05 = 6,476.13 : x
  2. Step 2: Convert to fraction form
    11,780.96/16,258.05 = 6,476.13/x
  3. Step 3: Cross multiply
    11,780.96x = 16,258.05 × 6,476.13
  4. Step 4: Simplify right side
    11,780.96x = 105,289,245.35
  5. Step 5: Solve for x
    x = 105,289,245.35/11,780.96
  6. Step 6: Final answer
    x = 8,937.24

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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.