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Finding the Fourth Proportional to 11,096.32, 15,317.76 and 7,363.84

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Solution

The fourth proportional to 11,096.32, 15,317.76 and 7,363.84 is: 10,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.32 : 15,317.76 = 7,363.84 : x
  2. Step 2: Convert to fraction form
    11,096.32/15,317.76 = 7,363.84/x
  3. Step 3: Cross multiply
    11,096.32x = 15,317.76 × 7,363.84
  4. Step 4: Simplify right side
    11,096.32x = 112,797,533.80
  5. Step 5: Solve for x
    x = 112,797,533.80/11,096.32
  6. Step 6: Final answer
    x = 10,165.31

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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.