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Finding the Fourth Proportional to 11,607.20, 17,410.80 and 4,211.65

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Solution

The fourth proportional to 11,607.20, 17,410.80 and 4,211.65 is: 6,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.20 : 17,410.80 = 4,211.65 : x
  2. Step 2: Convert to fraction form
    11,607.20/17,410.80 = 4,211.65/x
  3. Step 3: Cross multiply
    11,607.20x = 17,410.80 × 4,211.65
  4. Step 4: Simplify right side
    11,607.20x = 73,328,111.75
  5. Step 5: Solve for x
    x = 73,328,111.75/11,607.20
  6. Step 6: Final answer
    x = 6,317.47

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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.