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Finding the Fourth Proportional to 11,643.44, 16,059.36 and 7,395.92

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Solution

The fourth proportional to 11,643.44, 16,059.36 and 7,395.92 is: 10,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.44 : 16,059.36 = 7,395.92 : x
  2. Step 2: Convert to fraction form
    11,643.44/16,059.36 = 7,395.92/x
  3. Step 3: Cross multiply
    11,643.44x = 16,059.36 × 7,395.92
  4. Step 4: Simplify right side
    11,643.44x = 118,773,741.81
  5. Step 5: Solve for x
    x = 118,773,741.81/11,643.44
  6. Step 6: Final answer
    x = 10,200.92

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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.