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Finding the Fourth Proportional to 10,448.21, 15,668.42 and 4,206.12

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Solution

The fourth proportional to 10,448.21, 15,668.42 and 4,206.12 is: 6,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.21 : 15,668.42 = 4,206.12 : x
  2. Step 2: Convert to fraction form
    10,448.21/15,668.42 = 4,206.12/x
  3. Step 3: Cross multiply
    10,448.21x = 15,668.42 × 4,206.12
  4. Step 4: Simplify right side
    10,448.21x = 65,903,254.73
  5. Step 5: Solve for x
    x = 65,903,254.73/10,448.21
  6. Step 6: Final answer
    x = 6,307.61

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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.