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Finding the Fourth Proportional to 11,496.12, 15,866.12 and 7,018.92

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Solution

The fourth proportional to 11,496.12, 15,866.12 and 7,018.92 is: 9,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.12 : 15,866.12 = 7,018.92 : x
  2. Step 2: Convert to fraction form
    11,496.12/15,866.12 = 7,018.92/x
  3. Step 3: Cross multiply
    11,496.12x = 15,866.12 × 7,018.92
  4. Step 4: Simplify right side
    11,496.12x = 111,362,991.90
  5. Step 5: Solve for x
    x = 111,362,991.90/11,496.12
  6. Step 6: Final answer
    x = 9,687.01

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