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Finding the Fourth Proportional to 7,716.78, 11,564.82 and 4,011.30

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Solution

The fourth proportional to 7,716.78, 11,564.82 and 4,011.30 is: 6,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.78 : 11,564.82 = 4,011.30 : x
  2. Step 2: Convert to fraction form
    7,716.78/11,564.82 = 4,011.30/x
  3. Step 3: Cross multiply
    7,716.78x = 11,564.82 × 4,011.30
  4. Step 4: Simplify right side
    7,716.78x = 46,389,962.47
  5. Step 5: Solve for x
    x = 46,389,962.47/7,716.78
  6. Step 6: Final answer
    x = 6,011.57

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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.