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Finding the Fourth Proportional to 8,400.16, 11,594.64 and 5,613.76

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Solution

The fourth proportional to 8,400.16, 11,594.64 and 5,613.76 is: 7,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.16 : 11,594.64 = 5,613.76 : x
  2. Step 2: Convert to fraction form
    8,400.16/11,594.64 = 5,613.76/x
  3. Step 3: Cross multiply
    8,400.16x = 11,594.64 × 5,613.76
  4. Step 4: Simplify right side
    8,400.16x = 65,089,526.25
  5. Step 5: Solve for x
    x = 65,089,526.25/8,400.16
  6. Step 6: Final answer
    x = 7,748.61

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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.