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Finding the Fourth Proportional to 11,602.57, 16,015.69 and 6,886.85

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Solution

The fourth proportional to 11,602.57, 16,015.69 and 6,886.85 is: 9,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.57 : 16,015.69 = 6,886.85 : x
  2. Step 2: Convert to fraction form
    11,602.57/16,015.69 = 6,886.85/x
  3. Step 3: Cross multiply
    11,602.57x = 16,015.69 × 6,886.85
  4. Step 4: Simplify right side
    11,602.57x = 110,297,574.60
  5. Step 5: Solve for x
    x = 110,297,574.60/11,602.57
  6. Step 6: Final answer
    x = 9,506.31

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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.