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Finding the Fourth Proportional to 12,582.64, 17,364.25 and 6,917.63

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Solution

The fourth proportional to 12,582.64, 17,364.25 and 6,917.63 is: 9,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.64 : 17,364.25 = 6,917.63 : x
  2. Step 2: Convert to fraction form
    12,582.64/17,364.25 = 6,917.63/x
  3. Step 3: Cross multiply
    12,582.64x = 17,364.25 × 6,917.63
  4. Step 4: Simplify right side
    12,582.64x = 120,119,378.55
  5. Step 5: Solve for x
    x = 120,119,378.55/12,582.64
  6. Step 6: Final answer
    x = 9,546.44

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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.