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Finding the Fourth Proportional to 11,309.29, 15,604.80 and 6,830.04

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Solution

The fourth proportional to 11,309.29, 15,604.80 and 6,830.04 is: 9,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.29 : 15,604.80 = 6,830.04 : x
  2. Step 2: Convert to fraction form
    11,309.29/15,604.80 = 6,830.04/x
  3. Step 3: Cross multiply
    11,309.29x = 15,604.80 × 6,830.04
  4. Step 4: Simplify right side
    11,309.29x = 106,581,408.19
  5. Step 5: Solve for x
    x = 106,581,408.19/11,309.29
  6. Step 6: Final answer
    x = 9,424.24

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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.