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Finding the Fourth Proportional to 11,562.96, 17,349.24 and 6,368.40

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Solution

The fourth proportional to 11,562.96, 17,349.24 and 6,368.40 is: 9,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.96 : 17,349.24 = 6,368.40 : x
  2. Step 2: Convert to fraction form
    11,562.96/17,349.24 = 6,368.40/x
  3. Step 3: Cross multiply
    11,562.96x = 17,349.24 × 6,368.40
  4. Step 4: Simplify right side
    11,562.96x = 110,486,900.02
  5. Step 5: Solve for x
    x = 110,486,900.02/11,562.96
  6. Step 6: Final answer
    x = 9,555.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.