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Finding the Fourth Proportional to 10,334.81, 14,262.06 and 5,619.06

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Solution

The fourth proportional to 10,334.81, 14,262.06 and 5,619.06 is: 7,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.81 : 14,262.06 = 5,619.06 : x
  2. Step 2: Convert to fraction form
    10,334.81/14,262.06 = 5,619.06/x
  3. Step 3: Cross multiply
    10,334.81x = 14,262.06 × 5,619.06
  4. Step 4: Simplify right side
    10,334.81x = 80,139,370.86
  5. Step 5: Solve for x
    x = 80,139,370.86/10,334.81
  6. Step 6: Final answer
    x = 7,754.32

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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.