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Finding the Fourth Proportional to 11,496.78, 15,862.64 and 7,018.90

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Solution

The fourth proportional to 11,496.78, 15,862.64 and 7,018.90 is: 9,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.78 : 15,862.64 = 7,018.90 : x
  2. Step 2: Convert to fraction form
    11,496.78/15,862.64 = 7,018.90/x
  3. Step 3: Cross multiply
    11,496.78x = 15,862.64 × 7,018.90
  4. Step 4: Simplify right side
    11,496.78x = 111,338,209.14
  5. Step 5: Solve for x
    x = 111,338,209.14/11,496.78
  6. Step 6: Final answer
    x = 9,684.30

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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.