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Finding the Fourth Proportional to 11,289.60, 15,579.60 and 6,254.64

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Solution

The fourth proportional to 11,289.60, 15,579.60 and 6,254.64 is: 8,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.60 : 15,579.60 = 6,254.64 : x
  2. Step 2: Convert to fraction form
    11,289.60/15,579.60 = 6,254.64/x
  3. Step 3: Cross multiply
    11,289.60x = 15,579.60 × 6,254.64
  4. Step 4: Simplify right side
    11,289.60x = 97,444,789.34
  5. Step 5: Solve for x
    x = 97,444,789.34/11,289.60
  6. Step 6: Final answer
    x = 8,631.38

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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.