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Finding the Fourth Proportional to 26,716, 40,074 and 7,260

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Solution

The fourth proportional to 26,716, 40,074 and 7,260 is: 10,890

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716 : 40,074 = 7,260 : x
  2. Step 2: Convert to fraction form
    26,716/40,074 = 7,260/x
  3. Step 3: Cross multiply
    26,716x = 40,074 × 7,260
  4. Step 4: Simplify right side
    26,716x = 290,937,240
  5. Step 5: Solve for x
    x = 290,937,240/26,716
  6. Step 6: Final answer
    x = 10,890

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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.