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Finding the Fourth Proportional to 11,838.96, 16,337.48 and 6,533.84

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Solution

The fourth proportional to 11,838.96, 16,337.48 and 6,533.84 is: 9,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.96 : 16,337.48 = 6,533.84 : x
  2. Step 2: Convert to fraction form
    11,838.96/16,337.48 = 6,533.84/x
  3. Step 3: Cross multiply
    11,838.96x = 16,337.48 × 6,533.84
  4. Step 4: Simplify right side
    11,838.96x = 106,746,480.32
  5. Step 5: Solve for x
    x = 106,746,480.32/11,838.96
  6. Step 6: Final answer
    x = 9,016.54

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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.