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Finding the Fourth Proportional to 10,175.02, 15,235.19 and 6,457.12

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Solution

The fourth proportional to 10,175.02, 15,235.19 and 6,457.12 is: 9,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.02 : 15,235.19 = 6,457.12 : x
  2. Step 2: Convert to fraction form
    10,175.02/15,235.19 = 6,457.12/x
  3. Step 3: Cross multiply
    10,175.02x = 15,235.19 × 6,457.12
  4. Step 4: Simplify right side
    10,175.02x = 98,375,450.05
  5. Step 5: Solve for x
    x = 98,375,450.05/10,175.02
  6. Step 6: Final answer
    x = 9,668.33

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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.