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Finding the Fourth Proportional to 11,419.68, 15,779.70 and 8,908.14

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Solution

The fourth proportional to 11,419.68, 15,779.70 and 8,908.14 is: 12,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.68 : 15,779.70 = 8,908.14 : x
  2. Step 2: Convert to fraction form
    11,419.68/15,779.70 = 8,908.14/x
  3. Step 3: Cross multiply
    11,419.68x = 15,779.70 × 8,908.14
  4. Step 4: Simplify right side
    11,419.68x = 140,567,776.76
  5. Step 5: Solve for x
    x = 140,567,776.76/11,419.68
  6. Step 6: Final answer
    x = 12,309.26

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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.