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Finding the Fourth Proportional to 10,003.66, 13,804.35 and 5,527.37

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Solution

The fourth proportional to 10,003.66, 13,804.35 and 5,527.37 is: 7,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.66 : 13,804.35 = 5,527.37 : x
  2. Step 2: Convert to fraction form
    10,003.66/13,804.35 = 5,527.37/x
  3. Step 3: Cross multiply
    10,003.66x = 13,804.35 × 5,527.37
  4. Step 4: Simplify right side
    10,003.66x = 76,301,750.06
  5. Step 5: Solve for x
    x = 76,301,750.06/10,003.66
  6. Step 6: Final answer
    x = 7,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.