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Finding the Fourth Proportional to 8,646.61, 11,927.51 and 5,667.25

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Solution

The fourth proportional to 8,646.61, 11,927.51 and 5,667.25 is: 7,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.61 : 11,927.51 = 5,667.25 : x
  2. Step 2: Convert to fraction form
    8,646.61/11,927.51 = 5,667.25/x
  3. Step 3: Cross multiply
    8,646.61x = 11,927.51 × 5,667.25
  4. Step 4: Simplify right side
    8,646.61x = 67,596,181.05
  5. Step 5: Solve for x
    x = 67,596,181.05/8,646.61
  6. Step 6: Final answer
    x = 7,817.65

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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.