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Finding the Fourth Proportional to 10,997.76, 15,175.26 and 6,281.04

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Solution

The fourth proportional to 10,997.76, 15,175.26 and 6,281.04 is: 8,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.76 : 15,175.26 = 6,281.04 : x
  2. Step 2: Convert to fraction form
    10,997.76/15,175.26 = 6,281.04/x
  3. Step 3: Cross multiply
    10,997.76x = 15,175.26 × 6,281.04
  4. Step 4: Simplify right side
    10,997.76x = 95,316,415.07
  5. Step 5: Solve for x
    x = 95,316,415.07/10,997.76
  6. Step 6: Final answer
    x = 8,666.89

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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.