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Finding the Fourth Proportional to 11,657.28, 17,492.94 and 4,638.09

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Solution

The fourth proportional to 11,657.28, 17,492.94 and 4,638.09 is: 6,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.28 : 17,492.94 = 4,638.09 : x
  2. Step 2: Convert to fraction form
    11,657.28/17,492.94 = 4,638.09/x
  3. Step 3: Cross multiply
    11,657.28x = 17,492.94 × 4,638.09
  4. Step 4: Simplify right side
    11,657.28x = 81,133,830.08
  5. Step 5: Solve for x
    x = 81,133,830.08/11,657.28
  6. Step 6: Final answer
    x = 6,959.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.