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Finding the Fourth Proportional to 7,709.34, 11,565.90 and 2,779.32

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Solution

The fourth proportional to 7,709.34, 11,565.90 and 2,779.32 is: 4,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.34 : 11,565.90 = 2,779.32 : x
  2. Step 2: Convert to fraction form
    7,709.34/11,565.90 = 2,779.32/x
  3. Step 3: Cross multiply
    7,709.34x = 11,565.90 × 2,779.32
  4. Step 4: Simplify right side
    7,709.34x = 32,145,337.19
  5. Step 5: Solve for x
    x = 32,145,337.19/7,709.34
  6. Step 6: Final answer
    x = 4,169.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.