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Finding the Fourth Proportional to 26,978.41, 40,468.41 and 7,256.98

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Solution

The fourth proportional to 26,978.41, 40,468.41 and 7,256.98 is: 10,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.41 : 40,468.41 = 7,256.98 : x
  2. Step 2: Convert to fraction form
    26,978.41/40,468.41 = 7,256.98/x
  3. Step 3: Cross multiply
    26,978.41x = 40,468.41 × 7,256.98
  4. Step 4: Simplify right side
    26,978.41x = 293,678,442.00
  5. Step 5: Solve for x
    x = 293,678,442.00/26,978.41
  6. Step 6: Final answer
    x = 10,885.68

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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.