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Finding the Fourth Proportional to 10,841.34, 14,956.74 and 7,306.86

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Solution

The fourth proportional to 10,841.34, 14,956.74 and 7,306.86 is: 10,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.34 : 14,956.74 = 7,306.86 : x
  2. Step 2: Convert to fraction form
    10,841.34/14,956.74 = 7,306.86/x
  3. Step 3: Cross multiply
    10,841.34x = 14,956.74 × 7,306.86
  4. Step 4: Simplify right side
    10,841.34x = 109,286,805.24
  5. Step 5: Solve for x
    x = 109,286,805.24/10,841.34
  6. Step 6: Final answer
    x = 10,080.56

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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.