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Finding the Fourth Proportional to 7,779.29, 11,658.33 and 5,689.49

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Solution

The fourth proportional to 7,779.29, 11,658.33 and 5,689.49 is: 8,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.29 : 11,658.33 = 5,689.49 : x
  2. Step 2: Convert to fraction form
    7,779.29/11,658.33 = 5,689.49/x
  3. Step 3: Cross multiply
    7,779.29x = 11,658.33 × 5,689.49
  4. Step 4: Simplify right side
    7,779.29x = 66,329,893.66
  5. Step 5: Solve for x
    x = 66,329,893.66/7,779.29
  6. Step 6: Final answer
    x = 8,526.48

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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.