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Finding the Fourth Proportional to 11,461.69, 17,186.87 and 4,065.04

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Solution

The fourth proportional to 11,461.69, 17,186.87 and 4,065.04 is: 6,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.69 : 17,186.87 = 4,065.04 : x
  2. Step 2: Convert to fraction form
    11,461.69/17,186.87 = 4,065.04/x
  3. Step 3: Cross multiply
    11,461.69x = 17,186.87 × 4,065.04
  4. Step 4: Simplify right side
    11,461.69x = 69,865,322.81
  5. Step 5: Solve for x
    x = 69,865,322.81/11,461.69
  6. Step 6: Final answer
    x = 6,095.55

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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.