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Finding the Fourth Proportional to 7,057.10, 9,734.33 and 4,534.87

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Solution

The fourth proportional to 7,057.10, 9,734.33 and 4,534.87 is: 6,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.10 : 9,734.33 = 4,534.87 : x
  2. Step 2: Convert to fraction form
    7,057.10/9,734.33 = 4,534.87/x
  3. Step 3: Cross multiply
    7,057.10x = 9,734.33 × 4,534.87
  4. Step 4: Simplify right side
    7,057.10x = 44,143,898.41
  5. Step 5: Solve for x
    x = 44,143,898.41/7,057.10
  6. Step 6: Final answer
    x = 6,255.25

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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.