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Finding the Fourth Proportional to 7,486.58, 11,230.06 and 3,102.86

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Solution

The fourth proportional to 7,486.58, 11,230.06 and 3,102.86 is: 4,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.58 : 11,230.06 = 3,102.86 : x
  2. Step 2: Convert to fraction form
    7,486.58/11,230.06 = 3,102.86/x
  3. Step 3: Cross multiply
    7,486.58x = 11,230.06 × 3,102.86
  4. Step 4: Simplify right side
    7,486.58x = 34,845,303.97
  5. Step 5: Solve for x
    x = 34,845,303.97/7,486.58
  6. Step 6: Final answer
    x = 4,654.37

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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.