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Finding the Fourth Proportional to 7,082.67, 10,623.15 and 1,888.95

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Solution

The fourth proportional to 7,082.67, 10,623.15 and 1,888.95 is: 2,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.67 : 10,623.15 = 1,888.95 : x
  2. Step 2: Convert to fraction form
    7,082.67/10,623.15 = 1,888.95/x
  3. Step 3: Cross multiply
    7,082.67x = 10,623.15 × 1,888.95
  4. Step 4: Simplify right side
    7,082.67x = 20,066,599.19
  5. Step 5: Solve for x
    x = 20,066,599.19/7,082.67
  6. Step 6: Final answer
    x = 2,833.20

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Why These Related Problems?

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