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Finding the Fourth Proportional to 7,686.12, 11,523.78 and 5,712.60

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Solution

The fourth proportional to 7,686.12, 11,523.78 and 5,712.60 is: 8,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.12 : 11,523.78 = 5,712.60 : x
  2. Step 2: Convert to fraction form
    7,686.12/11,523.78 = 5,712.60/x
  3. Step 3: Cross multiply
    7,686.12x = 11,523.78 × 5,712.60
  4. Step 4: Simplify right side
    7,686.12x = 65,830,745.63
  5. Step 5: Solve for x
    x = 65,830,745.63/7,686.12
  6. Step 6: Final answer
    x = 8,564.89

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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.