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Finding the Fourth Proportional to 7,729.65, 11,592.05 and 4,444.29

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Solution

The fourth proportional to 7,729.65, 11,592.05 and 4,444.29 is: 6,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.65 : 11,592.05 = 4,444.29 : x
  2. Step 2: Convert to fraction form
    7,729.65/11,592.05 = 4,444.29/x
  3. Step 3: Cross multiply
    7,729.65x = 11,592.05 × 4,444.29
  4. Step 4: Simplify right side
    7,729.65x = 51,518,409.67
  5. Step 5: Solve for x
    x = 51,518,409.67/7,729.65
  6. Step 6: Final answer
    x = 6,665.04

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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.