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Finding the Fourth Proportional to 11,005.84, 16,476.16 and 9,879.76

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Solution

The fourth proportional to 11,005.84, 16,476.16 and 9,879.76 is: 14,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.84 : 16,476.16 = 9,879.76 : x
  2. Step 2: Convert to fraction form
    11,005.84/16,476.16 = 9,879.76/x
  3. Step 3: Cross multiply
    11,005.84x = 16,476.16 × 9,879.76
  4. Step 4: Simplify right side
    11,005.84x = 162,780,506.52
  5. Step 5: Solve for x
    x = 162,780,506.52/11,005.84
  6. Step 6: Final answer
    x = 14,790.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.