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Finding the Fourth Proportional to 8,602.63, 11,873.64 and 5,613.28

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Solution

The fourth proportional to 8,602.63, 11,873.64 and 5,613.28 is: 7,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.63 : 11,873.64 = 5,613.28 : x
  2. Step 2: Convert to fraction form
    8,602.63/11,873.64 = 5,613.28/x
  3. Step 3: Cross multiply
    8,602.63x = 11,873.64 × 5,613.28
  4. Step 4: Simplify right side
    8,602.63x = 66,650,065.94
  5. Step 5: Solve for x
    x = 66,650,065.94/8,602.63
  6. Step 6: Final answer
    x = 7,747.64

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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.