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Finding the Fourth Proportional to 8,499.38, 11,729.86 and 4,774.10

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Solution

The fourth proportional to 8,499.38, 11,729.86 and 4,774.10 is: 6,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.38 : 11,729.86 = 4,774.10 : x
  2. Step 2: Convert to fraction form
    8,499.38/11,729.86 = 4,774.10/x
  3. Step 3: Cross multiply
    8,499.38x = 11,729.86 × 4,774.10
  4. Step 4: Simplify right side
    8,499.38x = 55,999,454.04
  5. Step 5: Solve for x
    x = 55,999,454.04/8,499.38
  6. Step 6: Final answer
    x = 6,588.66

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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.