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Finding the Fourth Proportional to 8,530.71, 12,792.14 and 3,597.64

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Solution

The fourth proportional to 8,530.71, 12,792.14 and 3,597.64 is: 5,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.71 : 12,792.14 = 3,597.64 : x
  2. Step 2: Convert to fraction form
    8,530.71/12,792.14 = 3,597.64/x
  3. Step 3: Cross multiply
    8,530.71x = 12,792.14 × 3,597.64
  4. Step 4: Simplify right side
    8,530.71x = 46,021,514.55
  5. Step 5: Solve for x
    x = 46,021,514.55/8,530.71
  6. Step 6: Final answer
    x = 5,394.80

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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.