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Finding the Fourth Proportional to 10,852.84, 16,280.07 and 4,612.15

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Solution

The fourth proportional to 10,852.84, 16,280.07 and 4,612.15 is: 6,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.84 : 16,280.07 = 4,612.15 : x
  2. Step 2: Convert to fraction form
    10,852.84/16,280.07 = 4,612.15/x
  3. Step 3: Cross multiply
    10,852.84x = 16,280.07 × 4,612.15
  4. Step 4: Simplify right side
    10,852.84x = 75,086,124.85
  5. Step 5: Solve for x
    x = 75,086,124.85/10,852.84
  6. Step 6: Final answer
    x = 6,918.57

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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.