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Finding the Fourth Proportional to 11,830.64, 16,327.20 and 6,525.92

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Solution

The fourth proportional to 11,830.64, 16,327.20 and 6,525.92 is: 9,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.64 : 16,327.20 = 6,525.92 : x
  2. Step 2: Convert to fraction form
    11,830.64/16,327.20 = 6,525.92/x
  3. Step 3: Cross multiply
    11,830.64x = 16,327.20 × 6,525.92
  4. Step 4: Simplify right side
    11,830.64x = 106,550,001.02
  5. Step 5: Solve for x
    x = 106,550,001.02/11,830.64
  6. Step 6: Final answer
    x = 9,006.28

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