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Finding the Fourth Proportional to 11,137.51, 16,701.04 and 6,458.84

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Solution

The fourth proportional to 11,137.51, 16,701.04 and 6,458.84 is: 9,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.51 : 16,701.04 = 6,458.84 : x
  2. Step 2: Convert to fraction form
    11,137.51/16,701.04 = 6,458.84/x
  3. Step 3: Cross multiply
    11,137.51x = 16,701.04 × 6,458.84
  4. Step 4: Simplify right side
    11,137.51x = 107,869,345.19
  5. Step 5: Solve for x
    x = 107,869,345.19/11,137.51
  6. Step 6: Final answer
    x = 9,685.23

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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.