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Finding the Fourth Proportional to 7,731.05, 11,597.48 and 4,444.17

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Solution

The fourth proportional to 7,731.05, 11,597.48 and 4,444.17 is: 6,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.05 : 11,597.48 = 4,444.17 : x
  2. Step 2: Convert to fraction form
    7,731.05/11,597.48 = 4,444.17/x
  3. Step 3: Cross multiply
    7,731.05x = 11,597.48 × 4,444.17
  4. Step 4: Simplify right side
    7,731.05x = 51,541,123.65
  5. Step 5: Solve for x
    x = 51,541,123.65/7,731.05
  6. Step 6: Final answer
    x = 6,666.77

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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.