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Finding the Fourth Proportional to 7,875.69, 11,813.53 and 7,394.55

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Solution

The fourth proportional to 7,875.69, 11,813.53 and 7,394.55 is: 11,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.69 : 11,813.53 = 7,394.55 : x
  2. Step 2: Convert to fraction form
    7,875.69/11,813.53 = 7,394.55/x
  3. Step 3: Cross multiply
    7,875.69x = 11,813.53 × 7,394.55
  4. Step 4: Simplify right side
    7,875.69x = 87,355,738.26
  5. Step 5: Solve for x
    x = 87,355,738.26/7,875.69
  6. Step 6: Final answer
    x = 11,091.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.