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Finding the Fourth Proportional to 8,419.64, 11,619 and 4,642.81

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Solution

The fourth proportional to 8,419.64, 11,619 and 4,642.81 is: 6,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.64 : 11,619 = 4,642.81 : x
  2. Step 2: Convert to fraction form
    8,419.64/11,619 = 4,642.81/x
  3. Step 3: Cross multiply
    8,419.64x = 11,619 × 4,642.81
  4. Step 4: Simplify right side
    8,419.64x = 53,944,780.34
  5. Step 5: Solve for x
    x = 53,944,780.34/8,419.64
  6. Step 6: Final answer
    x = 6,407.02

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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.