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Finding the Fourth Proportional to 11,096.84, 15,228.39 and 10,470.80

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Solution

The fourth proportional to 11,096.84, 15,228.39 and 10,470.80 is: 14,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.84 : 15,228.39 = 10,470.80 : x
  2. Step 2: Convert to fraction form
    11,096.84/15,228.39 = 10,470.80/x
  3. Step 3: Cross multiply
    11,096.84x = 15,228.39 × 10,470.80
  4. Step 4: Simplify right side
    11,096.84x = 159,453,349.87
  5. Step 5: Solve for x
    x = 159,453,349.87/11,096.84
  6. Step 6: Final answer
    x = 14,369.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.