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Finding the Fourth Proportional to 11,141.68, 16,713.36 and 3,746.16

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Solution

The fourth proportional to 11,141.68, 16,713.36 and 3,746.16 is: 5,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.68 : 16,713.36 = 3,746.16 : x
  2. Step 2: Convert to fraction form
    11,141.68/16,713.36 = 3,746.16/x
  3. Step 3: Cross multiply
    11,141.68x = 16,713.36 × 3,746.16
  4. Step 4: Simplify right side
    11,141.68x = 62,610,920.70
  5. Step 5: Solve for x
    x = 62,610,920.70/11,141.68
  6. Step 6: Final answer
    x = 5,619.52

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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.