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Finding the Fourth Proportional to 8,004.32, 11,047.41 and 4,774.35

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Solution

The fourth proportional to 8,004.32, 11,047.41 and 4,774.35 is: 6,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.32 : 11,047.41 = 4,774.35 : x
  2. Step 2: Convert to fraction form
    8,004.32/11,047.41 = 4,774.35/x
  3. Step 3: Cross multiply
    8,004.32x = 11,047.41 × 4,774.35
  4. Step 4: Simplify right side
    8,004.32x = 52,744,122.82
  5. Step 5: Solve for x
    x = 52,744,122.82/8,004.32
  6. Step 6: Final answer
    x = 6,589.46

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