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Finding the Fourth Proportional to 11,686.40, 16,125 and 6,971.12

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Solution

The fourth proportional to 11,686.40, 16,125 and 6,971.12 is: 9,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.40 : 16,125 = 6,971.12 : x
  2. Step 2: Convert to fraction form
    11,686.40/16,125 = 6,971.12/x
  3. Step 3: Cross multiply
    11,686.40x = 16,125 × 6,971.12
  4. Step 4: Simplify right side
    11,686.40x = 112,409,310
  5. Step 5: Solve for x
    x = 112,409,310/11,686.40
  6. Step 6: Final answer
    x = 9,618.81

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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.