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Finding the Fourth Proportional to 11,886.48, 17,804.18 and 7,714.31

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Solution

The fourth proportional to 11,886.48, 17,804.18 and 7,714.31 is: 11,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.48 : 17,804.18 = 7,714.31 : x
  2. Step 2: Convert to fraction form
    11,886.48/17,804.18 = 7,714.31/x
  3. Step 3: Cross multiply
    11,886.48x = 17,804.18 × 7,714.31
  4. Step 4: Simplify right side
    11,886.48x = 137,346,894.08
  5. Step 5: Solve for x
    x = 137,346,894.08/11,886.48
  6. Step 6: Final answer
    x = 11,554.88

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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.