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Finding the Fourth Proportional to 10,003.70, 13,805.02 and 5,527.75

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Solution

The fourth proportional to 10,003.70, 13,805.02 and 5,527.75 is: 7,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.70 : 13,805.02 = 5,527.75 : x
  2. Step 2: Convert to fraction form
    10,003.70/13,805.02 = 5,527.75/x
  3. Step 3: Cross multiply
    10,003.70x = 13,805.02 × 5,527.75
  4. Step 4: Simplify right side
    10,003.70x = 76,310,699.31
  5. Step 5: Solve for x
    x = 76,310,699.31/10,003.70
  6. Step 6: Final answer
    x = 7,628.25

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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.