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Finding the Fourth Proportional to 7,801.86, 10,766.34 and 4,265.00

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Solution

The fourth proportional to 7,801.86, 10,766.34 and 4,265.00 is: 5,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.86 : 10,766.34 = 4,265.00 : x
  2. Step 2: Convert to fraction form
    7,801.86/10,766.34 = 4,265.00/x
  3. Step 3: Cross multiply
    7,801.86x = 10,766.34 × 4,265.00
  4. Step 4: Simplify right side
    7,801.86x = 45,918,386.27
  5. Step 5: Solve for x
    x = 45,918,386.27/7,801.86
  6. Step 6: Final answer
    x = 5,885.57

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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.