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Finding the Fourth Proportional to 10,618, 14,654.46 and 6,428.68

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Solution

The fourth proportional to 10,618, 14,654.46 and 6,428.68 is: 8,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 14,654.46 = 6,428.68 : x
  2. Step 2: Convert to fraction form
    10,618/14,654.46 = 6,428.68/x
  3. Step 3: Cross multiply
    10,618x = 14,654.46 × 6,428.68
  4. Step 4: Simplify right side
    10,618x = 94,208,833.91
  5. Step 5: Solve for x
    x = 94,208,833.91/10,618
  6. Step 6: Final answer
    x = 8,872.56

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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.