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Finding the Fourth Proportional to 10,111.84, 15,169.94 and 4,920.64

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Solution

The fourth proportional to 10,111.84, 15,169.94 and 4,920.64 is: 7,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.84 : 15,169.94 = 4,920.64 : x
  2. Step 2: Convert to fraction form
    10,111.84/15,169.94 = 4,920.64/x
  3. Step 3: Cross multiply
    10,111.84x = 15,169.94 × 4,920.64
  4. Step 4: Simplify right side
    10,111.84x = 74,645,813.56
  5. Step 5: Solve for x
    x = 74,645,813.56/10,111.84
  6. Step 6: Final answer
    x = 7,382.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.