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Finding the Fourth Proportional to 11,886.51, 16,402.25 and 7,105.50

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Solution

The fourth proportional to 11,886.51, 16,402.25 and 7,105.50 is: 9,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.51 : 16,402.25 = 7,105.50 : x
  2. Step 2: Convert to fraction form
    11,886.51/16,402.25 = 7,105.50/x
  3. Step 3: Cross multiply
    11,886.51x = 16,402.25 × 7,105.50
  4. Step 4: Simplify right side
    11,886.51x = 116,546,187.38
  5. Step 5: Solve for x
    x = 116,546,187.38/11,886.51
  6. Step 6: Final answer
    x = 9,804.91

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Why These Related Problems?

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