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Finding the Fourth Proportional to 10,628.63, 14,671.17 and 6,436.88

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Solution

The fourth proportional to 10,628.63, 14,671.17 and 6,436.88 is: 8,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.63 : 14,671.17 = 6,436.88 : x
  2. Step 2: Convert to fraction form
    10,628.63/14,671.17 = 6,436.88/x
  3. Step 3: Cross multiply
    10,628.63x = 14,671.17 × 6,436.88
  4. Step 4: Simplify right side
    10,628.63x = 94,436,560.75
  5. Step 5: Solve for x
    x = 94,436,560.75/10,628.63
  6. Step 6: Final answer
    x = 8,885.11

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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.