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Finding the Fourth Proportional to 11,820.40, 16,305.89 and 7,036.94

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Solution

The fourth proportional to 11,820.40, 16,305.89 and 7,036.94 is: 9,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.40 : 16,305.89 = 7,036.94 : x
  2. Step 2: Convert to fraction form
    11,820.40/16,305.89 = 7,036.94/x
  3. Step 3: Cross multiply
    11,820.40x = 16,305.89 × 7,036.94
  4. Step 4: Simplify right side
    11,820.40x = 114,743,569.58
  5. Step 5: Solve for x
    x = 114,743,569.58/11,820.40
  6. Step 6: Final answer
    x = 9,707.25

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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.