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Finding the Fourth Proportional to 10,313.12, 14,232.81 and 5,836.86

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Solution

The fourth proportional to 10,313.12, 14,232.81 and 5,836.86 is: 8,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.12 : 14,232.81 = 5,836.86 : x
  2. Step 2: Convert to fraction form
    10,313.12/14,232.81 = 5,836.86/x
  3. Step 3: Cross multiply
    10,313.12x = 14,232.81 × 5,836.86
  4. Step 4: Simplify right side
    10,313.12x = 83,074,941.26
  5. Step 5: Solve for x
    x = 83,074,941.26/10,313.12
  6. Step 6: Final answer
    x = 8,055.27

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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.