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Finding the Fourth Proportional to 11,436.84, 15,779.28 and 6,722.64

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Solution

The fourth proportional to 11,436.84, 15,779.28 and 6,722.64 is: 9,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.84 : 15,779.28 = 6,722.64 : x
  2. Step 2: Convert to fraction form
    11,436.84/15,779.28 = 6,722.64/x
  3. Step 3: Cross multiply
    11,436.84x = 15,779.28 × 6,722.64
  4. Step 4: Simplify right side
    11,436.84x = 106,078,418.90
  5. Step 5: Solve for x
    x = 106,078,418.90/11,436.84
  6. Step 6: Final answer
    x = 9,275.15

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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.