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Finding the Fourth Proportional to 8,457.64, 11,668.70 and 5,477.24

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Solution

The fourth proportional to 8,457.64, 11,668.70 and 5,477.24 is: 7,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.64 : 11,668.70 = 5,477.24 : x
  2. Step 2: Convert to fraction form
    8,457.64/11,668.70 = 5,477.24/x
  3. Step 3: Cross multiply
    8,457.64x = 11,668.70 × 5,477.24
  4. Step 4: Simplify right side
    8,457.64x = 63,912,270.39
  5. Step 5: Solve for x
    x = 63,912,270.39/8,457.64
  6. Step 6: Final answer
    x = 7,556.75

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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.