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Finding the Fourth Proportional to 10,732.32, 14,805.59 and 6,956.73

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Solution

The fourth proportional to 10,732.32, 14,805.59 and 6,956.73 is: 9,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.32 : 14,805.59 = 6,956.73 : x
  2. Step 2: Convert to fraction form
    10,732.32/14,805.59 = 6,956.73/x
  3. Step 3: Cross multiply
    10,732.32x = 14,805.59 × 6,956.73
  4. Step 4: Simplify right side
    10,732.32x = 102,998,457.34
  5. Step 5: Solve for x
    x = 102,998,457.34/10,732.32
  6. Step 6: Final answer
    x = 9,597.04

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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.