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Finding the Fourth Proportional to 7,379.84, 10,186.32 and 4,827.96

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Solution

The fourth proportional to 7,379.84, 10,186.32 and 4,827.96 is: 6,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.84 : 10,186.32 = 4,827.96 : x
  2. Step 2: Convert to fraction form
    7,379.84/10,186.32 = 4,827.96/x
  3. Step 3: Cross multiply
    7,379.84x = 10,186.32 × 4,827.96
  4. Step 4: Simplify right side
    7,379.84x = 49,179,145.51
  5. Step 5: Solve for x
    x = 49,179,145.51/7,379.84
  6. Step 6: Final answer
    x = 6,663.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.