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Finding the Fourth Proportional to 11,117.80, 16,676.70 and 6,437.80

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Solution

The fourth proportional to 11,117.80, 16,676.70 and 6,437.80 is: 9,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.80 : 16,676.70 = 6,437.80 : x
  2. Step 2: Convert to fraction form
    11,117.80/16,676.70 = 6,437.80/x
  3. Step 3: Cross multiply
    11,117.80x = 16,676.70 × 6,437.80
  4. Step 4: Simplify right side
    11,117.80x = 107,361,259.26
  5. Step 5: Solve for x
    x = 107,361,259.26/11,117.80
  6. Step 6: Final answer
    x = 9,656.70

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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.