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Finding the Fourth Proportional to 12,159.25, 16,779.62 and 6,855.77

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Solution

The fourth proportional to 12,159.25, 16,779.62 and 6,855.77 is: 9,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.25 : 16,779.62 = 6,855.77 : x
  2. Step 2: Convert to fraction form
    12,159.25/16,779.62 = 6,855.77/x
  3. Step 3: Cross multiply
    12,159.25x = 16,779.62 × 6,855.77
  4. Step 4: Simplify right side
    12,159.25x = 115,037,274.50
  5. Step 5: Solve for x
    x = 115,037,274.50/12,159.25
  6. Step 6: Final answer
    x = 9,460.89

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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.