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Finding the Fourth Proportional to 10,302.10, 15,457.32 and 3,728.80

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Solution

The fourth proportional to 10,302.10, 15,457.32 and 3,728.80 is: 5,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.10 : 15,457.32 = 3,728.80 : x
  2. Step 2: Convert to fraction form
    10,302.10/15,457.32 = 3,728.80/x
  3. Step 3: Cross multiply
    10,302.10x = 15,457.32 × 3,728.80
  4. Step 4: Simplify right side
    10,302.10x = 57,637,254.82
  5. Step 5: Solve for x
    x = 57,637,254.82/10,302.10
  6. Step 6: Final answer
    x = 5,594.71

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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.