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Finding the Fourth Proportional to 11,477.18, 15,825.85 and 7,934.24

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Solution

The fourth proportional to 11,477.18, 15,825.85 and 7,934.24 is: 10,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.18 : 15,825.85 = 7,934.24 : x
  2. Step 2: Convert to fraction form
    11,477.18/15,825.85 = 7,934.24/x
  3. Step 3: Cross multiply
    11,477.18x = 15,825.85 × 7,934.24
  4. Step 4: Simplify right side
    11,477.18x = 125,566,111.83
  5. Step 5: Solve for x
    x = 125,566,111.83/11,477.18
  6. Step 6: Final answer
    x = 10,940.50

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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.