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Finding the Fourth Proportional to 11,435.40, 15,784.80 and 8,779.44

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Solution

The fourth proportional to 11,435.40, 15,784.80 and 8,779.44 is: 12,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.40 : 15,784.80 = 8,779.44 : x
  2. Step 2: Convert to fraction form
    11,435.40/15,784.80 = 8,779.44/x
  3. Step 3: Cross multiply
    11,435.40x = 15,784.80 × 8,779.44
  4. Step 4: Simplify right side
    11,435.40x = 138,581,704.51
  5. Step 5: Solve for x
    x = 138,581,704.51/11,435.40
  6. Step 6: Final answer
    x = 12,118.66

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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.