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Finding the Fourth Proportional to 10,646.45, 14,690.39 and 6,169.40

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Solution

The fourth proportional to 10,646.45, 14,690.39 and 6,169.40 is: 8,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.45 : 14,690.39 = 6,169.40 : x
  2. Step 2: Convert to fraction form
    10,646.45/14,690.39 = 6,169.40/x
  3. Step 3: Cross multiply
    10,646.45x = 14,690.39 × 6,169.40
  4. Step 4: Simplify right side
    10,646.45x = 90,630,787.77
  5. Step 5: Solve for x
    x = 90,630,787.77/10,646.45
  6. Step 6: Final answer
    x = 8,512.77

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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.