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Finding the Fourth Proportional to 8,419.04, 11,609.16 and 5,732

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Solution

The fourth proportional to 8,419.04, 11,609.16 and 5,732 is: 7,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.04 : 11,609.16 = 5,732 : x
  2. Step 2: Convert to fraction form
    8,419.04/11,609.16 = 5,732/x
  3. Step 3: Cross multiply
    8,419.04x = 11,609.16 × 5,732
  4. Step 4: Simplify right side
    8,419.04x = 66,543,705.12
  5. Step 5: Solve for x
    x = 66,543,705.12/8,419.04
  6. Step 6: Final answer
    x = 7,903.95

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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.