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Finding the Fourth Proportional to 12,159.50, 16,779.77 and 6,782.10

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Solution

The fourth proportional to 12,159.50, 16,779.77 and 6,782.10 is: 9,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.50 : 16,779.77 = 6,782.10 : x
  2. Step 2: Convert to fraction form
    12,159.50/16,779.77 = 6,782.10/x
  3. Step 3: Cross multiply
    12,159.50x = 16,779.77 × 6,782.10
  4. Step 4: Simplify right side
    12,159.50x = 113,802,044.86
  5. Step 5: Solve for x
    x = 113,802,044.86/12,159.50
  6. Step 6: Final answer
    x = 9,359.11

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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.