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Finding the Fourth Proportional to 7,312.01, 10,091.12 and 4,082.00

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Solution

The fourth proportional to 7,312.01, 10,091.12 and 4,082.00 is: 5,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.01 : 10,091.12 = 4,082.00 : x
  2. Step 2: Convert to fraction form
    7,312.01/10,091.12 = 4,082.00/x
  3. Step 3: Cross multiply
    7,312.01x = 10,091.12 × 4,082.00
  4. Step 4: Simplify right side
    7,312.01x = 41,191,880.97
  5. Step 5: Solve for x
    x = 41,191,880.97/7,312.01
  6. Step 6: Final answer
    x = 5,633.46

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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.