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Finding the Fourth Proportional to 7,032.81, 10,552.13 and 3,082.02

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Solution

The fourth proportional to 7,032.81, 10,552.13 and 3,082.02 is: 4,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.81 : 10,552.13 = 3,082.02 : x
  2. Step 2: Convert to fraction form
    7,032.81/10,552.13 = 3,082.02/x
  3. Step 3: Cross multiply
    7,032.81x = 10,552.13 × 3,082.02
  4. Step 4: Simplify right side
    7,032.81x = 32,521,875.70
  5. Step 5: Solve for x
    x = 32,521,875.70/7,032.81
  6. Step 6: Final answer
    x = 4,624.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.