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Finding the Fourth Proportional to 11,730.14, 16,187.15 and 7,013.51

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Solution

The fourth proportional to 11,730.14, 16,187.15 and 7,013.51 is: 9,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.14 : 16,187.15 = 7,013.51 : x
  2. Step 2: Convert to fraction form
    11,730.14/16,187.15 = 7,013.51/x
  3. Step 3: Cross multiply
    11,730.14x = 16,187.15 × 7,013.51
  4. Step 4: Simplify right side
    11,730.14x = 113,528,703.33
  5. Step 5: Solve for x
    x = 113,528,703.33/11,730.14
  6. Step 6: Final answer
    x = 9,678.38

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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.