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Finding the Fourth Proportional to 11,973.60, 16,525.11 and 6,871.11

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Solution

The fourth proportional to 11,973.60, 16,525.11 and 6,871.11 is: 9,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.60 : 16,525.11 = 6,871.11 : x
  2. Step 2: Convert to fraction form
    11,973.60/16,525.11 = 6,871.11/x
  3. Step 3: Cross multiply
    11,973.60x = 16,525.11 × 6,871.11
  4. Step 4: Simplify right side
    11,973.60x = 113,545,848.57
  5. Step 5: Solve for x
    x = 113,545,848.57/11,973.60
  6. Step 6: Final answer
    x = 9,483.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.