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Finding the Fourth Proportional to 11,537.14, 15,921.28 and 6,501.38

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Solution

The fourth proportional to 11,537.14, 15,921.28 and 6,501.38 is: 8,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.14 : 15,921.28 = 6,501.38 : x
  2. Step 2: Convert to fraction form
    11,537.14/15,921.28 = 6,501.38/x
  3. Step 3: Cross multiply
    11,537.14x = 15,921.28 × 6,501.38
  4. Step 4: Simplify right side
    11,537.14x = 103,510,291.37
  5. Step 5: Solve for x
    x = 103,510,291.37/11,537.14
  6. Step 6: Final answer
    x = 8,971.92

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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.