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Finding the Fourth Proportional to 11,774.88, 17,633.52 and 5,604

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Solution

The fourth proportional to 11,774.88, 17,633.52 and 5,604 is: 8,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.88 : 17,633.52 = 5,604 : x
  2. Step 2: Convert to fraction form
    11,774.88/17,633.52 = 5,604/x
  3. Step 3: Cross multiply
    11,774.88x = 17,633.52 × 5,604
  4. Step 4: Simplify right side
    11,774.88x = 98,818,246.08
  5. Step 5: Solve for x
    x = 98,818,246.08/11,774.88
  6. Step 6: Final answer
    x = 8,392.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.