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Finding the Fourth Proportional to 11,005.60, 16,513.20 and 5,159.20

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Solution

The fourth proportional to 11,005.60, 16,513.20 and 5,159.20 is: 7,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.60 : 16,513.20 = 5,159.20 : x
  2. Step 2: Convert to fraction form
    11,005.60/16,513.20 = 5,159.20/x
  3. Step 3: Cross multiply
    11,005.60x = 16,513.20 × 5,159.20
  4. Step 4: Simplify right side
    11,005.60x = 85,194,901.44
  5. Step 5: Solve for x
    x = 85,194,901.44/11,005.60
  6. Step 6: Final answer
    x = 7,741.05

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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.