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Finding the Fourth Proportional to 11,583.36, 15,975.36 and 9,483.84

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Solution

The fourth proportional to 11,583.36, 15,975.36 and 9,483.84 is: 13,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.36 : 15,975.36 = 9,483.84 : x
  2. Step 2: Convert to fraction form
    11,583.36/15,975.36 = 9,483.84/x
  3. Step 3: Cross multiply
    11,583.36x = 15,975.36 × 9,483.84
  4. Step 4: Simplify right side
    11,583.36x = 151,507,758.18
  5. Step 5: Solve for x
    x = 151,507,758.18/11,583.36
  6. Step 6: Final answer
    x = 13,079.78

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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.