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Finding the Fourth Proportional to 8,597.48, 11,867.04 and 5,613.76

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Solution

The fourth proportional to 8,597.48, 11,867.04 and 5,613.76 is: 7,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.48 : 11,867.04 = 5,613.76 : x
  2. Step 2: Convert to fraction form
    8,597.48/11,867.04 = 5,613.76/x
  3. Step 3: Cross multiply
    8,597.48x = 11,867.04 × 5,613.76
  4. Step 4: Simplify right side
    8,597.48x = 66,618,662.55
  5. Step 5: Solve for x
    x = 66,618,662.55/8,597.48
  6. Step 6: Final answer
    x = 7,748.63

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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.