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Finding the Fourth Proportional to 11,605.85, 17,411.37 and 4,210.15

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Solution

The fourth proportional to 11,605.85, 17,411.37 and 4,210.15 is: 6,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.85 : 17,411.37 = 4,210.15 : x
  2. Step 2: Convert to fraction form
    11,605.85/17,411.37 = 4,210.15/x
  3. Step 3: Cross multiply
    11,605.85x = 17,411.37 × 4,210.15
  4. Step 4: Simplify right side
    11,605.85x = 73,304,397.44
  5. Step 5: Solve for x
    x = 73,304,397.44/11,605.85
  6. Step 6: Final answer
    x = 6,316.16

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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.