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Finding the Fourth Proportional to 10,313.94, 14,221.80 and 7,475.70

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Solution

The fourth proportional to 10,313.94, 14,221.80 and 7,475.70 is: 10,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.94 : 14,221.80 = 7,475.70 : x
  2. Step 2: Convert to fraction form
    10,313.94/14,221.80 = 7,475.70/x
  3. Step 3: Cross multiply
    10,313.94x = 14,221.80 × 7,475.70
  4. Step 4: Simplify right side
    10,313.94x = 106,317,910.26
  5. Step 5: Solve for x
    x = 106,317,910.26/10,313.94
  6. Step 6: Final answer
    x = 10,308.18

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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.