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Finding the Fourth Proportional to 11,555.94, 17,318.10 and 6,284.05

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Solution

The fourth proportional to 11,555.94, 17,318.10 and 6,284.05 is: 9,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.94 : 17,318.10 = 6,284.05 : x
  2. Step 2: Convert to fraction form
    11,555.94/17,318.10 = 6,284.05/x
  3. Step 3: Cross multiply
    11,555.94x = 17,318.10 × 6,284.05
  4. Step 4: Simplify right side
    11,555.94x = 108,827,806.31
  5. Step 5: Solve for x
    x = 108,827,806.31/11,555.94
  6. Step 6: Final answer
    x = 9,417.48

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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.