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Finding the Fourth Proportional to 6,529.26, 8,995.41 and 5,358

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Solution

The fourth proportional to 6,529.26, 8,995.41 and 5,358 is: 7,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.26 : 8,995.41 = 5,358 : x
  2. Step 2: Convert to fraction form
    6,529.26/8,995.41 = 5,358/x
  3. Step 3: Cross multiply
    6,529.26x = 8,995.41 × 5,358
  4. Step 4: Simplify right side
    6,529.26x = 48,197,406.78
  5. Step 5: Solve for x
    x = 48,197,406.78/6,529.26
  6. Step 6: Final answer
    x = 7,381.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.