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Finding the Fourth Proportional to 7,858.17, 11,771.85 and 4,564.38

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Solution

The fourth proportional to 7,858.17, 11,771.85 and 4,564.38 is: 6,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.17 : 11,771.85 = 4,564.38 : x
  2. Step 2: Convert to fraction form
    7,858.17/11,771.85 = 4,564.38/x
  3. Step 3: Cross multiply
    7,858.17x = 11,771.85 × 4,564.38
  4. Step 4: Simplify right side
    7,858.17x = 53,731,196.70
  5. Step 5: Solve for x
    x = 53,731,196.70/7,858.17
  6. Step 6: Final answer
    x = 6,837.62

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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.