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Finding the Fourth Proportional to 6,915.90, 10,370.78 and 1,984.40

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Solution

The fourth proportional to 6,915.90, 10,370.78 and 1,984.40 is: 2,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.90 : 10,370.78 = 1,984.40 : x
  2. Step 2: Convert to fraction form
    6,915.90/10,370.78 = 1,984.40/x
  3. Step 3: Cross multiply
    6,915.90x = 10,370.78 × 1,984.40
  4. Step 4: Simplify right side
    6,915.90x = 20,579,775.83
  5. Step 5: Solve for x
    x = 20,579,775.83/6,915.90
  6. Step 6: Final answer
    x = 2,975.72

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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.