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Finding the Fourth Proportional to 6,125.64, 8,457.43 and 5,461.34

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Solution

The fourth proportional to 6,125.64, 8,457.43 and 5,461.34 is: 7,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.64 : 8,457.43 = 5,461.34 : x
  2. Step 2: Convert to fraction form
    6,125.64/8,457.43 = 5,461.34/x
  3. Step 3: Cross multiply
    6,125.64x = 8,457.43 × 5,461.34
  4. Step 4: Simplify right side
    6,125.64x = 46,188,900.76
  5. Step 5: Solve for x
    x = 46,188,900.76/6,125.64
  6. Step 6: Final answer
    x = 7,540.26

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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.