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Finding the Fourth Proportional to 11,730.51, 16,190.19 and 7,017.93

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Solution

The fourth proportional to 11,730.51, 16,190.19 and 7,017.93 is: 9,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.51 : 16,190.19 = 7,017.93 : x
  2. Step 2: Convert to fraction form
    11,730.51/16,190.19 = 7,017.93/x
  3. Step 3: Cross multiply
    11,730.51x = 16,190.19 × 7,017.93
  4. Step 4: Simplify right side
    11,730.51x = 113,621,620.11
  5. Step 5: Solve for x
    x = 113,621,620.11/11,730.51
  6. Step 6: Final answer
    x = 9,685.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.