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Finding the Fourth Proportional to 7,601.02, 10,489.02 and 4,457

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Solution

The fourth proportional to 7,601.02, 10,489.02 and 4,457 is: 6,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.02 : 10,489.02 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,601.02/10,489.02 = 4,457/x
  3. Step 3: Cross multiply
    7,601.02x = 10,489.02 × 4,457
  4. Step 4: Simplify right side
    7,601.02x = 46,749,562.14
  5. Step 5: Solve for x
    x = 46,749,562.14/7,601.02
  6. Step 6: Final answer
    x = 6,150.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.