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Finding the Fourth Proportional to 11,465.72, 17,184.19 and 6,200.51

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Solution

The fourth proportional to 11,465.72, 17,184.19 and 6,200.51 is: 9,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.72 : 17,184.19 = 6,200.51 : x
  2. Step 2: Convert to fraction form
    11,465.72/17,184.19 = 6,200.51/x
  3. Step 3: Cross multiply
    11,465.72x = 17,184.19 × 6,200.51
  4. Step 4: Simplify right side
    11,465.72x = 106,550,741.94
  5. Step 5: Solve for x
    x = 106,550,741.94/11,465.72
  6. Step 6: Final answer
    x = 9,292.98

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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.