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Finding the Fourth Proportional to 7,431.84, 10,246.50 and 5,309.91

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Solution

The fourth proportional to 7,431.84, 10,246.50 and 5,309.91 is: 7,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.84 : 10,246.50 = 5,309.91 : x
  2. Step 2: Convert to fraction form
    7,431.84/10,246.50 = 5,309.91/x
  3. Step 3: Cross multiply
    7,431.84x = 10,246.50 × 5,309.91
  4. Step 4: Simplify right side
    7,431.84x = 54,407,992.82
  5. Step 5: Solve for x
    x = 54,407,992.82/7,431.84
  6. Step 6: Final answer
    x = 7,320.93

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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.