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Finding the Fourth Proportional to 8,653.78, 13,005.02 and 5,144.41

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Solution

The fourth proportional to 8,653.78, 13,005.02 and 5,144.41 is: 7,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.78 : 13,005.02 = 5,144.41 : x
  2. Step 2: Convert to fraction form
    8,653.78/13,005.02 = 5,144.41/x
  3. Step 3: Cross multiply
    8,653.78x = 13,005.02 × 5,144.41
  4. Step 4: Simplify right side
    8,653.78x = 66,903,203.50
  5. Step 5: Solve for x
    x = 66,903,203.50/8,653.78
  6. Step 6: Final answer
    x = 7,731.10

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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.