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Finding the Fourth Proportional to 11,483.32, 15,839.58 and 7,896.64

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Solution

The fourth proportional to 11,483.32, 15,839.58 and 7,896.64 is: 10,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.32 : 15,839.58 = 7,896.64 : x
  2. Step 2: Convert to fraction form
    11,483.32/15,839.58 = 7,896.64/x
  3. Step 3: Cross multiply
    11,483.32x = 15,839.58 × 7,896.64
  4. Step 4: Simplify right side
    11,483.32x = 125,079,461.01
  5. Step 5: Solve for x
    x = 125,079,461.01/11,483.32
  6. Step 6: Final answer
    x = 10,892.27

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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.