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Finding the Fourth Proportional to 26,393, 39,592.74 and 7,925

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Solution

The fourth proportional to 26,393, 39,592.74 and 7,925 is: 11,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,393 : 39,592.74 = 7,925 : x
  2. Step 2: Convert to fraction form
    26,393/39,592.74 = 7,925/x
  3. Step 3: Cross multiply
    26,393x = 39,592.74 × 7,925
  4. Step 4: Simplify right side
    26,393x = 313,772,464.50
  5. Step 5: Solve for x
    x = 313,772,464.50/26,393
  6. Step 6: Final answer
    x = 11,888.47

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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.