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Finding the Fourth Proportional to 10,592.04, 15,876.54 and 7,977

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Solution

The fourth proportional to 10,592.04, 15,876.54 and 7,977 is: 11,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.04 : 15,876.54 = 7,977 : x
  2. Step 2: Convert to fraction form
    10,592.04/15,876.54 = 7,977/x
  3. Step 3: Cross multiply
    10,592.04x = 15,876.54 × 7,977
  4. Step 4: Simplify right side
    10,592.04x = 126,647,159.58
  5. Step 5: Solve for x
    x = 126,647,159.58/10,592.04
  6. Step 6: Final answer
    x = 11,956.82

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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.