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Finding the Fourth Proportional to 7,875.86, 11,813.80 and 7,394.72

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Solution

The fourth proportional to 7,875.86, 11,813.80 and 7,394.72 is: 11,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.86 : 11,813.80 = 7,394.72 : x
  2. Step 2: Convert to fraction form
    7,875.86/11,813.80 = 7,394.72/x
  3. Step 3: Cross multiply
    7,875.86x = 11,813.80 × 7,394.72
  4. Step 4: Simplify right side
    7,875.86x = 87,359,743.14
  5. Step 5: Solve for x
    x = 87,359,743.14/7,875.86
  6. Step 6: Final answer
    x = 11,092.09

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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.