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Finding the Fourth Proportional to 11,289.75, 15,580.40 and 6,813.42

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Solution

The fourth proportional to 11,289.75, 15,580.40 and 6,813.42 is: 9,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.75 : 15,580.40 = 6,813.42 : x
  2. Step 2: Convert to fraction form
    11,289.75/15,580.40 = 6,813.42/x
  3. Step 3: Cross multiply
    11,289.75x = 15,580.40 × 6,813.42
  4. Step 4: Simplify right side
    11,289.75x = 106,155,774.90
  5. Step 5: Solve for x
    x = 106,155,774.90/11,289.75
  6. Step 6: Final answer
    x = 9,402.85

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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.