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Finding the Fourth Proportional to 11,464.92, 15,823.85 and 7,436.74

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Solution

The fourth proportional to 11,464.92, 15,823.85 and 7,436.74 is: 10,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.92 : 15,823.85 = 7,436.74 : x
  2. Step 2: Convert to fraction form
    11,464.92/15,823.85 = 7,436.74/x
  3. Step 3: Cross multiply
    11,464.92x = 15,823.85 × 7,436.74
  4. Step 4: Simplify right side
    11,464.92x = 117,677,797.72
  5. Step 5: Solve for x
    x = 117,677,797.72/11,464.92
  6. Step 6: Final answer
    x = 10,264.17

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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.