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Finding the Fourth Proportional to 11,604.52, 17,416.02 and 4,211.10

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Solution

The fourth proportional to 11,604.52, 17,416.02 and 4,211.10 is: 6,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.52 : 17,416.02 = 4,211.10 : x
  2. Step 2: Convert to fraction form
    11,604.52/17,416.02 = 4,211.10/x
  3. Step 3: Cross multiply
    11,604.52x = 17,416.02 × 4,211.10
  4. Step 4: Simplify right side
    11,604.52x = 73,340,601.82
  5. Step 5: Solve for x
    x = 73,340,601.82/11,604.52
  6. Step 6: Final answer
    x = 6,320.00

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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.