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Finding the Fourth Proportional to 8,339.16, 11,506.68 and 5,199.60

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Solution

The fourth proportional to 8,339.16, 11,506.68 and 5,199.60 is: 7,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.16 : 11,506.68 = 5,199.60 : x
  2. Step 2: Convert to fraction form
    8,339.16/11,506.68 = 5,199.60/x
  3. Step 3: Cross multiply
    8,339.16x = 11,506.68 × 5,199.60
  4. Step 4: Simplify right side
    8,339.16x = 59,830,133.33
  5. Step 5: Solve for x
    x = 59,830,133.33/8,339.16
  6. Step 6: Final answer
    x = 7,174.60

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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.