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Finding the Fourth Proportional to 7,480.04, 10,322.70 and 4,123

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Solution

The fourth proportional to 7,480.04, 10,322.70 and 4,123 is: 5,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.04 : 10,322.70 = 4,123 : x
  2. Step 2: Convert to fraction form
    7,480.04/10,322.70 = 4,123/x
  3. Step 3: Cross multiply
    7,480.04x = 10,322.70 × 4,123
  4. Step 4: Simplify right side
    7,480.04x = 42,560,492.10
  5. Step 5: Solve for x
    x = 42,560,492.10/7,480.04
  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.