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Finding the Fourth Proportional to 7,605.23, 11,416.05 and 6,385.98

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Solution

The fourth proportional to 7,605.23, 11,416.05 and 6,385.98 is: 9,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.23 : 11,416.05 = 6,385.98 : x
  2. Step 2: Convert to fraction form
    7,605.23/11,416.05 = 6,385.98/x
  3. Step 3: Cross multiply
    7,605.23x = 11,416.05 × 6,385.98
  4. Step 4: Simplify right side
    7,605.23x = 72,902,666.98
  5. Step 5: Solve for x
    x = 72,902,666.98/7,605.23
  6. Step 6: Final answer
    x = 9,585.86

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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.