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Finding the Fourth Proportional to 10,457.64, 15,687.90 and 3,062.61

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Solution

The fourth proportional to 10,457.64, 15,687.90 and 3,062.61 is: 4,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.64 : 15,687.90 = 3,062.61 : x
  2. Step 2: Convert to fraction form
    10,457.64/15,687.90 = 3,062.61/x
  3. Step 3: Cross multiply
    10,457.64x = 15,687.90 × 3,062.61
  4. Step 4: Simplify right side
    10,457.64x = 48,045,919.42
  5. Step 5: Solve for x
    x = 48,045,919.42/10,457.64
  6. Step 6: Final answer
    x = 4,594.34

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Why These Related Problems?

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