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Finding the Fourth Proportional to 10,032.08, 13,844.05 and 5,555.81

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Solution

The fourth proportional to 10,032.08, 13,844.05 and 5,555.81 is: 7,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.08 : 13,844.05 = 5,555.81 : x
  2. Step 2: Convert to fraction form
    10,032.08/13,844.05 = 5,555.81/x
  3. Step 3: Cross multiply
    10,032.08x = 13,844.05 × 5,555.81
  4. Step 4: Simplify right side
    10,032.08x = 76,914,932.15
  5. Step 5: Solve for x
    x = 76,914,932.15/10,032.08
  6. Step 6: Final answer
    x = 7,666.90

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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.