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Finding the Fourth Proportional to 7,480.65, 10,322.83 and 4,123.28

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Solution

The fourth proportional to 7,480.65, 10,322.83 and 4,123.28 is: 5,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.65 : 10,322.83 = 4,123.28 : x
  2. Step 2: Convert to fraction form
    7,480.65/10,322.83 = 4,123.28/x
  3. Step 3: Cross multiply
    7,480.65x = 10,322.83 × 4,123.28
  4. Step 4: Simplify right side
    7,480.65x = 42,563,918.48
  5. Step 5: Solve for x
    x = 42,563,918.48/7,480.65
  6. Step 6: Final answer
    x = 5,689.87

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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.