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Finding the Fourth Proportional to 11,480.94, 15,844.40 and 7,646

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Solution

The fourth proportional to 11,480.94, 15,844.40 and 7,646 is: 10,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.94 : 15,844.40 = 7,646 : x
  2. Step 2: Convert to fraction form
    11,480.94/15,844.40 = 7,646/x
  3. Step 3: Cross multiply
    11,480.94x = 15,844.40 × 7,646
  4. Step 4: Simplify right side
    11,480.94x = 121,146,282.40
  5. Step 5: Solve for x
    x = 121,146,282.40/11,480.94
  6. Step 6: Final answer
    x = 10,551.95

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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.