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Finding the Fourth Proportional to 11,710.17, 16,158.89 and 6,674.00

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Solution

The fourth proportional to 11,710.17, 16,158.89 and 6,674.00 is: 9,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.17 : 16,158.89 = 6,674.00 : x
  2. Step 2: Convert to fraction form
    11,710.17/16,158.89 = 6,674.00/x
  3. Step 3: Cross multiply
    11,710.17x = 16,158.89 × 6,674.00
  4. Step 4: Simplify right side
    11,710.17x = 107,844,367.75
  5. Step 5: Solve for x
    x = 107,844,367.75/11,710.17
  6. Step 6: Final answer
    x = 9,209.46

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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.