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Finding the Fourth Proportional to 12,111.53, 16,714.59 and 8,071.34

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Solution

The fourth proportional to 12,111.53, 16,714.59 and 8,071.34 is: 11,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.53 : 16,714.59 = 8,071.34 : x
  2. Step 2: Convert to fraction form
    12,111.53/16,714.59 = 8,071.34/x
  3. Step 3: Cross multiply
    12,111.53x = 16,714.59 × 8,071.34
  4. Step 4: Simplify right side
    12,111.53x = 134,909,055.28
  5. Step 5: Solve for x
    x = 134,909,055.28/12,111.53
  6. Step 6: Final answer
    x = 11,138.90

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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.