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Finding the Fourth Proportional to 10,004.30, 13,807.27 and 5,755.26

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Solution

The fourth proportional to 10,004.30, 13,807.27 and 5,755.26 is: 7,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.30 : 13,807.27 = 5,755.26 : x
  2. Step 2: Convert to fraction form
    10,004.30/13,807.27 = 5,755.26/x
  3. Step 3: Cross multiply
    10,004.30x = 13,807.27 × 5,755.26
  4. Step 4: Simplify right side
    10,004.30x = 79,464,428.74
  5. Step 5: Solve for x
    x = 79,464,428.74/10,004.30
  6. Step 6: Final answer
    x = 7,943.03

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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.