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Finding the Fourth Proportional to 8,312.48, 11,475.46 and 6,419.81

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Solution

The fourth proportional to 8,312.48, 11,475.46 and 6,419.81 is: 8,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.48 : 11,475.46 = 6,419.81 : x
  2. Step 2: Convert to fraction form
    8,312.48/11,475.46 = 6,419.81/x
  3. Step 3: Cross multiply
    8,312.48x = 11,475.46 × 6,419.81
  4. Step 4: Simplify right side
    8,312.48x = 73,670,272.86
  5. Step 5: Solve for x
    x = 73,670,272.86/8,312.48
  6. Step 6: Final answer
    x = 8,862.61

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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.