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Finding the Fourth Proportional to 11,886.90, 16,412.64 and 9,059.18

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Solution

The fourth proportional to 11,886.90, 16,412.64 and 9,059.18 is: 12,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.90 : 16,412.64 = 9,059.18 : x
  2. Step 2: Convert to fraction form
    11,886.90/16,412.64 = 9,059.18/x
  3. Step 3: Cross multiply
    11,886.90x = 16,412.64 × 9,059.18
  4. Step 4: Simplify right side
    11,886.90x = 148,685,060.04
  5. Step 5: Solve for x
    x = 148,685,060.04/11,886.90
  6. Step 6: Final answer
    x = 12,508.31

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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.