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Finding the Fourth Proportional to 10,835.92, 16,261.20 and 5,291.92

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Solution

The fourth proportional to 10,835.92, 16,261.20 and 5,291.92 is: 7,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.92 : 16,261.20 = 5,291.92 : x
  2. Step 2: Convert to fraction form
    10,835.92/16,261.20 = 5,291.92/x
  3. Step 3: Cross multiply
    10,835.92x = 16,261.20 × 5,291.92
  4. Step 4: Simplify right side
    10,835.92x = 86,052,969.50
  5. Step 5: Solve for x
    x = 86,052,969.50/10,835.92
  6. Step 6: Final answer
    x = 7,941.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.