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Finding the Fourth Proportional to 8,506, 11,738.04 and 4,729.07

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Solution

The fourth proportional to 8,506, 11,738.04 and 4,729.07 is: 6,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 11,738.04 = 4,729.07 : x
  2. Step 2: Convert to fraction form
    8,506/11,738.04 = 4,729.07/x
  3. Step 3: Cross multiply
    8,506x = 11,738.04 × 4,729.07
  4. Step 4: Simplify right side
    8,506x = 55,510,012.82
  5. Step 5: Solve for x
    x = 55,510,012.82/8,506
  6. Step 6: Final answer
    x = 6,525.98

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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.