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Finding the Fourth Proportional to 7,137.75, 10,707.30 and 2,457.57

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Solution

The fourth proportional to 7,137.75, 10,707.30 and 2,457.57 is: 3,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.75 : 10,707.30 = 2,457.57 : x
  2. Step 2: Convert to fraction form
    7,137.75/10,707.30 = 2,457.57/x
  3. Step 3: Cross multiply
    7,137.75x = 10,707.30 × 2,457.57
  4. Step 4: Simplify right side
    7,137.75x = 26,313,939.26
  5. Step 5: Solve for x
    x = 26,313,939.26/7,137.75
  6. Step 6: Final answer
    x = 3,686.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.