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Finding the Fourth Proportional to 8,419.17, 11,618.53 and 4,642.48

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Solution

The fourth proportional to 8,419.17, 11,618.53 and 4,642.48 is: 6,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.17 : 11,618.53 = 4,642.48 : x
  2. Step 2: Convert to fraction form
    8,419.17/11,618.53 = 4,642.48/x
  3. Step 3: Cross multiply
    8,419.17x = 11,618.53 × 4,642.48
  4. Step 4: Simplify right side
    8,419.17x = 53,938,752.50
  5. Step 5: Solve for x
    x = 53,938,752.50/8,419.17
  6. Step 6: Final answer
    x = 6,406.66

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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.