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Finding the Fourth Proportional to 8,584.75, 11,848.47 and 5,047.96

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Solution

The fourth proportional to 8,584.75, 11,848.47 and 5,047.96 is: 6,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.75 : 11,848.47 = 5,047.96 : x
  2. Step 2: Convert to fraction form
    8,584.75/11,848.47 = 5,047.96/x
  3. Step 3: Cross multiply
    8,584.75x = 11,848.47 × 5,047.96
  4. Step 4: Simplify right side
    8,584.75x = 59,810,602.62
  5. Step 5: Solve for x
    x = 59,810,602.62/8,584.75
  6. Step 6: Final answer
    x = 6,967.08

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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.