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Finding the Fourth Proportional to 11,623.36, 16,038.48 and 7,147.84

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Solution

The fourth proportional to 11,623.36, 16,038.48 and 7,147.84 is: 9,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.36 : 16,038.48 = 7,147.84 : x
  2. Step 2: Convert to fraction form
    11,623.36/16,038.48 = 7,147.84/x
  3. Step 3: Cross multiply
    11,623.36x = 16,038.48 × 7,147.84
  4. Step 4: Simplify right side
    11,623.36x = 114,640,488.88
  5. Step 5: Solve for x
    x = 114,640,488.88/11,623.36
  6. Step 6: Final answer
    x = 9,862.94

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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.