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Finding the Fourth Proportional to 10,261.92, 15,392.65 and 2,866.21

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Solution

The fourth proportional to 10,261.92, 15,392.65 and 2,866.21 is: 4,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.92 : 15,392.65 = 2,866.21 : x
  2. Step 2: Convert to fraction form
    10,261.92/15,392.65 = 2,866.21/x
  3. Step 3: Cross multiply
    10,261.92x = 15,392.65 × 2,866.21
  4. Step 4: Simplify right side
    10,261.92x = 44,118,567.36
  5. Step 5: Solve for x
    x = 44,118,567.36/10,261.92
  6. Step 6: Final answer
    x = 4,299.25

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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.