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Finding the Fourth Proportional to 11,433.64, 15,779.04 and 6,956.68

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Solution

The fourth proportional to 11,433.64, 15,779.04 and 6,956.68 is: 9,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.64 : 15,779.04 = 6,956.68 : x
  2. Step 2: Convert to fraction form
    11,433.64/15,779.04 = 6,956.68/x
  3. Step 3: Cross multiply
    11,433.64x = 15,779.04 × 6,956.68
  4. Step 4: Simplify right side
    11,433.64x = 109,769,731.99
  5. Step 5: Solve for x
    x = 109,769,731.99/11,433.64
  6. Step 6: Final answer
    x = 9,600.59

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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.