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Finding the Fourth Proportional to 11,630.36, 16,048.14 and 7,154.84

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Solution

The fourth proportional to 11,630.36, 16,048.14 and 7,154.84 is: 9,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.36 : 16,048.14 = 7,154.84 : x
  2. Step 2: Convert to fraction form
    11,630.36/16,048.14 = 7,154.84/x
  3. Step 3: Cross multiply
    11,630.36x = 16,048.14 × 7,154.84
  4. Step 4: Simplify right side
    11,630.36x = 114,821,874.00
  5. Step 5: Solve for x
    x = 114,821,874.00/11,630.36
  6. Step 6: Final answer
    x = 9,872.60

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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.