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Finding the Fourth Proportional to 8,415.86, 11,609.07 and 5,266.58

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Solution

The fourth proportional to 8,415.86, 11,609.07 and 5,266.58 is: 7,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.86 : 11,609.07 = 5,266.58 : x
  2. Step 2: Convert to fraction form
    8,415.86/11,609.07 = 5,266.58/x
  3. Step 3: Cross multiply
    8,415.86x = 11,609.07 × 5,266.58
  4. Step 4: Simplify right side
    8,415.86x = 61,140,095.88
  5. Step 5: Solve for x
    x = 61,140,095.88/8,415.86
  6. Step 6: Final answer
    x = 7,264.87

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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.