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Finding the Fourth Proportional to 7,142.77, 10,715.85 and 2,980.46

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Solution

The fourth proportional to 7,142.77, 10,715.85 and 2,980.46 is: 4,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.77 : 10,715.85 = 2,980.46 : x
  2. Step 2: Convert to fraction form
    7,142.77/10,715.85 = 2,980.46/x
  3. Step 3: Cross multiply
    7,142.77x = 10,715.85 × 2,980.46
  4. Step 4: Simplify right side
    7,142.77x = 31,938,189.08
  5. Step 5: Solve for x
    x = 31,938,189.08/7,142.77
  6. Step 6: Final answer
    x = 4,471.40

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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.