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Finding the Fourth Proportional to 10,354.44, 14,276.76 and 8,459.04

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Solution

The fourth proportional to 10,354.44, 14,276.76 and 8,459.04 is: 11,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.44 : 14,276.76 = 8,459.04 : x
  2. Step 2: Convert to fraction form
    10,354.44/14,276.76 = 8,459.04/x
  3. Step 3: Cross multiply
    10,354.44x = 14,276.76 × 8,459.04
  4. Step 4: Simplify right side
    10,354.44x = 120,767,683.91
  5. Step 5: Solve for x
    x = 120,767,683.91/10,354.44
  6. Step 6: Final answer
    x = 11,663.37

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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.