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Finding the Fourth Proportional to 8,147.67, 11,233.93 and 6,886.50

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Solution

The fourth proportional to 8,147.67, 11,233.93 and 6,886.50 is: 9,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.67 : 11,233.93 = 6,886.50 : x
  2. Step 2: Convert to fraction form
    8,147.67/11,233.93 = 6,886.50/x
  3. Step 3: Cross multiply
    8,147.67x = 11,233.93 × 6,886.50
  4. Step 4: Simplify right side
    8,147.67x = 77,362,458.95
  5. Step 5: Solve for x
    x = 77,362,458.95/8,147.67
  6. Step 6: Final answer
    x = 9,495.04

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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.