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Finding the Fourth Proportional to 10,742.50, 14,821.06 and 6,494.86

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Solution

The fourth proportional to 10,742.50, 14,821.06 and 6,494.86 is: 8,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.50 : 14,821.06 = 6,494.86 : x
  2. Step 2: Convert to fraction form
    10,742.50/14,821.06 = 6,494.86/x
  3. Step 3: Cross multiply
    10,742.50x = 14,821.06 × 6,494.86
  4. Step 4: Simplify right side
    10,742.50x = 96,260,709.75
  5. Step 5: Solve for x
    x = 96,260,709.75/10,742.50
  6. Step 6: Final answer
    x = 8,960.74

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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.