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Finding the Fourth Proportional to 10,457.50, 15,685.10 and 3,062.03

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Solution

The fourth proportional to 10,457.50, 15,685.10 and 3,062.03 is: 4,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.50 : 15,685.10 = 3,062.03 : x
  2. Step 2: Convert to fraction form
    10,457.50/15,685.10 = 3,062.03/x
  3. Step 3: Cross multiply
    10,457.50x = 15,685.10 × 3,062.03
  4. Step 4: Simplify right side
    10,457.50x = 48,028,223.32
  5. Step 5: Solve for x
    x = 48,028,223.32/10,457.50
  6. Step 6: Final answer
    x = 4,592.71

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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.