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Finding the Fourth Proportional to 10,228.21, 15,284.04 and 7,678.68

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Solution

The fourth proportional to 10,228.21, 15,284.04 and 7,678.68 is: 11,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.21 : 15,284.04 = 7,678.68 : x
  2. Step 2: Convert to fraction form
    10,228.21/15,284.04 = 7,678.68/x
  3. Step 3: Cross multiply
    10,228.21x = 15,284.04 × 7,678.68
  4. Step 4: Simplify right side
    10,228.21x = 117,361,295.32
  5. Step 5: Solve for x
    x = 117,361,295.32/10,228.21
  6. Step 6: Final answer
    x = 11,474.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.