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Finding the Fourth Proportional to 10,444.64, 14,408.16 and 8,457.44

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Solution

The fourth proportional to 10,444.64, 14,408.16 and 8,457.44 is: 11,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.64 : 14,408.16 = 8,457.44 : x
  2. Step 2: Convert to fraction form
    10,444.64/14,408.16 = 8,457.44/x
  3. Step 3: Cross multiply
    10,444.64x = 14,408.16 × 8,457.44
  4. Step 4: Simplify right side
    10,444.64x = 121,856,148.71
  5. Step 5: Solve for x
    x = 121,856,148.71/10,444.64
  6. Step 6: Final answer
    x = 11,666.86

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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.