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Finding the Fourth Proportional to 8,570.54, 11,842.74 and 6,686.84

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Solution

The fourth proportional to 8,570.54, 11,842.74 and 6,686.84 is: 9,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.54 : 11,842.74 = 6,686.84 : x
  2. Step 2: Convert to fraction form
    8,570.54/11,842.74 = 6,686.84/x
  3. Step 3: Cross multiply
    8,570.54x = 11,842.74 × 6,686.84
  4. Step 4: Simplify right side
    8,570.54x = 79,190,507.54
  5. Step 5: Solve for x
    x = 79,190,507.54/8,570.54
  6. Step 6: Final answer
    x = 9,239.85

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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.