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Finding the Fourth Proportional to 7,882.94, 10,878.53 and 4,346.28

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Solution

The fourth proportional to 7,882.94, 10,878.53 and 4,346.28 is: 5,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.94 : 10,878.53 = 4,346.28 : x
  2. Step 2: Convert to fraction form
    7,882.94/10,878.53 = 4,346.28/x
  3. Step 3: Cross multiply
    7,882.94x = 10,878.53 × 4,346.28
  4. Step 4: Simplify right side
    7,882.94x = 47,281,082.98
  5. Step 5: Solve for x
    x = 47,281,082.98/7,882.94
  6. Step 6: Final answer
    x = 5,997.90

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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.