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Finding the Fourth Proportional to 10,768.07, 14,858.42 and 5,987.67

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Solution

The fourth proportional to 10,768.07, 14,858.42 and 5,987.67 is: 8,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.07 : 14,858.42 = 5,987.67 : x
  2. Step 2: Convert to fraction form
    10,768.07/14,858.42 = 5,987.67/x
  3. Step 3: Cross multiply
    10,768.07x = 14,858.42 × 5,987.67
  4. Step 4: Simplify right side
    10,768.07x = 88,967,285.74
  5. Step 5: Solve for x
    x = 88,967,285.74/10,768.07
  6. Step 6: Final answer
    x = 8,262.14

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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.