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Finding the Fourth Proportional to 10,164.84, 14,029.82 and 6,621.88

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Solution

The fourth proportional to 10,164.84, 14,029.82 and 6,621.88 is: 9,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.84 : 14,029.82 = 6,621.88 : x
  2. Step 2: Convert to fraction form
    10,164.84/14,029.82 = 6,621.88/x
  3. Step 3: Cross multiply
    10,164.84x = 14,029.82 × 6,621.88
  4. Step 4: Simplify right side
    10,164.84x = 92,903,784.46
  5. Step 5: Solve for x
    x = 92,903,784.46/10,164.84
  6. Step 6: Final answer
    x = 9,139.72

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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.