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Finding the Fourth Proportional to 7,588.49, 10,471.82 and 4,231.10

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Solution

The fourth proportional to 7,588.49, 10,471.82 and 4,231.10 is: 5,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.49 : 10,471.82 = 4,231.10 : x
  2. Step 2: Convert to fraction form
    7,588.49/10,471.82 = 4,231.10/x
  3. Step 3: Cross multiply
    7,588.49x = 10,471.82 × 4,231.10
  4. Step 4: Simplify right side
    7,588.49x = 44,307,322.63
  5. Step 5: Solve for x
    x = 44,307,322.63/7,588.49
  6. Step 6: Final answer
    x = 5,838.76

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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.