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Finding the Fourth Proportional to 11,647.65, 17,461 and 4,246.95

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Solution

The fourth proportional to 11,647.65, 17,461 and 4,246.95 is: 6,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.65 : 17,461 = 4,246.95 : x
  2. Step 2: Convert to fraction form
    11,647.65/17,461 = 4,246.95/x
  3. Step 3: Cross multiply
    11,647.65x = 17,461 × 4,246.95
  4. Step 4: Simplify right side
    11,647.65x = 74,155,993.95
  5. Step 5: Solve for x
    x = 74,155,993.95/11,647.65
  6. Step 6: Final answer
    x = 6,366.61

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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.