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Finding the Fourth Proportional to 10,977.52, 15,143.76 and 7,992

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Solution

The fourth proportional to 10,977.52, 15,143.76 and 7,992 is: 11,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.52 : 15,143.76 = 7,992 : x
  2. Step 2: Convert to fraction form
    10,977.52/15,143.76 = 7,992/x
  3. Step 3: Cross multiply
    10,977.52x = 15,143.76 × 7,992
  4. Step 4: Simplify right side
    10,977.52x = 121,028,929.92
  5. Step 5: Solve for x
    x = 121,028,929.92/10,977.52
  6. Step 6: Final answer
    x = 11,025.16

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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.