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Finding the Fourth Proportional to 11,780.16, 16,258.24 and 6,815.04

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Solution

The fourth proportional to 11,780.16, 16,258.24 and 6,815.04 is: 9,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.16 : 16,258.24 = 6,815.04 : x
  2. Step 2: Convert to fraction form
    11,780.16/16,258.24 = 6,815.04/x
  3. Step 3: Cross multiply
    11,780.16x = 16,258.24 × 6,815.04
  4. Step 4: Simplify right side
    11,780.16x = 110,800,555.93
  5. Step 5: Solve for x
    x = 110,800,555.93/11,780.16
  6. Step 6: Final answer
    x = 9,405.69

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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.