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Finding the Fourth Proportional to 10,459.78, 14,435.68 and 6,211.88

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Solution

The fourth proportional to 10,459.78, 14,435.68 and 6,211.88 is: 8,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.78 : 14,435.68 = 6,211.88 : x
  2. Step 2: Convert to fraction form
    10,459.78/14,435.68 = 6,211.88/x
  3. Step 3: Cross multiply
    10,459.78x = 14,435.68 × 6,211.88
  4. Step 4: Simplify right side
    10,459.78x = 89,672,678.39
  5. Step 5: Solve for x
    x = 89,672,678.39/10,459.78
  6. Step 6: Final answer
    x = 8,573.09

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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.