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Finding the Fourth Proportional to 11,141.90, 16,714.06 and 3,746.06

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Solution

The fourth proportional to 11,141.90, 16,714.06 and 3,746.06 is: 5,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.90 : 16,714.06 = 3,746.06 : x
  2. Step 2: Convert to fraction form
    11,141.90/16,714.06 = 3,746.06/x
  3. Step 3: Cross multiply
    11,141.90x = 16,714.06 × 3,746.06
  4. Step 4: Simplify right side
    11,141.90x = 62,611,871.60
  5. Step 5: Solve for x
    x = 62,611,871.60/11,141.90
  6. Step 6: Final answer
    x = 5,619.50

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Why These Related Problems?

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