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Finding the Fourth Proportional to 7,714.88, 11,567.42 and 6,545.29

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Solution

The fourth proportional to 7,714.88, 11,567.42 and 6,545.29 is: 9,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.88 : 11,567.42 = 6,545.29 : x
  2. Step 2: Convert to fraction form
    7,714.88/11,567.42 = 6,545.29/x
  3. Step 3: Cross multiply
    7,714.88x = 11,567.42 × 6,545.29
  4. Step 4: Simplify right side
    7,714.88x = 75,712,027.89
  5. Step 5: Solve for x
    x = 75,712,027.89/7,714.88
  6. Step 6: Final answer
    x = 9,813.77

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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.