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Finding the Fourth Proportional to 8,605.68, 12,897.59 and 3,670.35

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Solution

The fourth proportional to 8,605.68, 12,897.59 and 3,670.35 is: 5,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.68 : 12,897.59 = 3,670.35 : x
  2. Step 2: Convert to fraction form
    8,605.68/12,897.59 = 3,670.35/x
  3. Step 3: Cross multiply
    8,605.68x = 12,897.59 × 3,670.35
  4. Step 4: Simplify right side
    8,605.68x = 47,338,720.12
  5. Step 5: Solve for x
    x = 47,338,720.12/8,605.68
  6. Step 6: Final answer
    x = 5,500.87

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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.