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Finding the Fourth Proportional to 11,925.10, 16,459.04 and 6,890.14

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Solution

The fourth proportional to 11,925.10, 16,459.04 and 6,890.14 is: 9,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.10 : 16,459.04 = 6,890.14 : x
  2. Step 2: Convert to fraction form
    11,925.10/16,459.04 = 6,890.14/x
  3. Step 3: Cross multiply
    11,925.10x = 16,459.04 × 6,890.14
  4. Step 4: Simplify right side
    11,925.10x = 113,405,089.87
  5. Step 5: Solve for x
    x = 113,405,089.87/11,925.10
  6. Step 6: Final answer
    x = 9,509.78

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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.