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Finding the Fourth Proportional to 11,686.34, 16,125.24 and 6,905.62

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Solution

The fourth proportional to 11,686.34, 16,125.24 and 6,905.62 is: 9,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.34 : 16,125.24 = 6,905.62 : x
  2. Step 2: Convert to fraction form
    11,686.34/16,125.24 = 6,905.62/x
  3. Step 3: Cross multiply
    11,686.34x = 16,125.24 × 6,905.62
  4. Step 4: Simplify right side
    11,686.34x = 111,354,699.22
  5. Step 5: Solve for x
    x = 111,354,699.22/11,686.34
  6. Step 6: Final answer
    x = 9,528.62

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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.