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Finding the Fourth Proportional to 11,977.60, 16,524.32 and 7,006.72

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Solution

The fourth proportional to 11,977.60, 16,524.32 and 7,006.72 is: 9,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.60 : 16,524.32 = 7,006.72 : x
  2. Step 2: Convert to fraction form
    11,977.60/16,524.32 = 7,006.72/x
  3. Step 3: Cross multiply
    11,977.60x = 16,524.32 × 7,006.72
  4. Step 4: Simplify right side
    11,977.60x = 115,781,283.43
  5. Step 5: Solve for x
    x = 115,781,283.43/11,977.60
  6. Step 6: Final answer
    x = 9,666.48

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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.