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Finding the Fourth Proportional to 7,915.71, 11,873.59 and 2,984.02

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Solution

The fourth proportional to 7,915.71, 11,873.59 and 2,984.02 is: 4,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.71 : 11,873.59 = 2,984.02 : x
  2. Step 2: Convert to fraction form
    7,915.71/11,873.59 = 2,984.02/x
  3. Step 3: Cross multiply
    7,915.71x = 11,873.59 × 2,984.02
  4. Step 4: Simplify right side
    7,915.71x = 35,431,030.03
  5. Step 5: Solve for x
    x = 35,431,030.03/7,915.71
  6. Step 6: Final answer
    x = 4,476.04

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Why These Related Problems?

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