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Finding the Fourth Proportional to 11,562.40, 17,315.64 and 6,617.05

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Solution

The fourth proportional to 11,562.40, 17,315.64 and 6,617.05 is: 9,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.40 : 17,315.64 = 6,617.05 : x
  2. Step 2: Convert to fraction form
    11,562.40/17,315.64 = 6,617.05/x
  3. Step 3: Cross multiply
    11,562.40x = 17,315.64 × 6,617.05
  4. Step 4: Simplify right side
    11,562.40x = 114,578,455.66
  5. Step 5: Solve for x
    x = 114,578,455.66/11,562.40
  6. Step 6: Final answer
    x = 9,909.57

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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.