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Finding the Fourth Proportional to 8,219.84, 12,264.71 and 8,030.75

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Solution

The fourth proportional to 8,219.84, 12,264.71 and 8,030.75 is: 11,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.84 : 12,264.71 = 8,030.75 : x
  2. Step 2: Convert to fraction form
    8,219.84/12,264.71 = 8,030.75/x
  3. Step 3: Cross multiply
    8,219.84x = 12,264.71 × 8,030.75
  4. Step 4: Simplify right side
    8,219.84x = 98,494,718.36
  5. Step 5: Solve for x
    x = 98,494,718.36/8,219.84
  6. Step 6: Final answer
    x = 11,982.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.