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Finding the Fourth Proportional to 5,047.12, 6,966.13 and 2,924.11

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Solution

The fourth proportional to 5,047.12, 6,966.13 and 2,924.11 is: 4,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.12 : 6,966.13 = 2,924.11 : x
  2. Step 2: Convert to fraction form
    5,047.12/6,966.13 = 2,924.11/x
  3. Step 3: Cross multiply
    5,047.12x = 6,966.13 × 2,924.11
  4. Step 4: Simplify right side
    5,047.12x = 20,369,695.56
  5. Step 5: Solve for x
    x = 20,369,695.56/5,047.12
  6. Step 6: Final answer
    x = 4,035.91

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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.