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Finding the Fourth Proportional to 11,196.95, 15,435.42 and 7,829.28

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Solution

The fourth proportional to 11,196.95, 15,435.42 and 7,829.28 is: 10,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.95 : 15,435.42 = 7,829.28 : x
  2. Step 2: Convert to fraction form
    11,196.95/15,435.42 = 7,829.28/x
  3. Step 3: Cross multiply
    11,196.95x = 15,435.42 × 7,829.28
  4. Step 4: Simplify right side
    11,196.95x = 120,848,225.10
  5. Step 5: Solve for x
    x = 120,848,225.10/11,196.95
  6. Step 6: Final answer
    x = 10,792.96

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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.