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Finding the Fourth Proportional to 10,334.69, 14,261.94 and 5,619.14

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Solution

The fourth proportional to 10,334.69, 14,261.94 and 5,619.14 is: 7,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.69 : 14,261.94 = 5,619.14 : x
  2. Step 2: Convert to fraction form
    10,334.69/14,261.94 = 5,619.14/x
  3. Step 3: Cross multiply
    10,334.69x = 14,261.94 × 5,619.14
  4. Step 4: Simplify right side
    10,334.69x = 80,139,837.53
  5. Step 5: Solve for x
    x = 80,139,837.53/10,334.69
  6. Step 6: Final answer
    x = 7,754.45

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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.