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Finding the Fourth Proportional to 8,419.76, 11,619.28 and 4,642.84

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Solution

The fourth proportional to 8,419.76, 11,619.28 and 4,642.84 is: 6,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.76 : 11,619.28 = 4,642.84 : x
  2. Step 2: Convert to fraction form
    8,419.76/11,619.28 = 4,642.84/x
  3. Step 3: Cross multiply
    8,419.76x = 11,619.28 × 4,642.84
  4. Step 4: Simplify right side
    8,419.76x = 53,946,457.96
  5. Step 5: Solve for x
    x = 53,946,457.96/8,419.76
  6. Step 6: Final answer
    x = 6,407.13

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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.