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Finding the Fourth Proportional to 10,338.84, 14,270.94 and 6,089.64

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Solution

The fourth proportional to 10,338.84, 14,270.94 and 6,089.64 is: 8,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.84 : 14,270.94 = 6,089.64 : x
  2. Step 2: Convert to fraction form
    10,338.84/14,270.94 = 6,089.64/x
  3. Step 3: Cross multiply
    10,338.84x = 14,270.94 × 6,089.64
  4. Step 4: Simplify right side
    10,338.84x = 86,904,887.06
  5. Step 5: Solve for x
    x = 86,904,887.06/10,338.84
  6. Step 6: Final answer
    x = 8,405.67

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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.