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Finding the Fourth Proportional to 11,009.38, 15,187.89 and 7,028.50

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Solution

The fourth proportional to 11,009.38, 15,187.89 and 7,028.50 is: 9,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.38 : 15,187.89 = 7,028.50 : x
  2. Step 2: Convert to fraction form
    11,009.38/15,187.89 = 7,028.50/x
  3. Step 3: Cross multiply
    11,009.38x = 15,187.89 × 7,028.50
  4. Step 4: Simplify right side
    11,009.38x = 106,748,084.87
  5. Step 5: Solve for x
    x = 106,748,084.87/11,009.38
  6. Step 6: Final answer
    x = 9,696.10

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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.