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Finding the Fourth Proportional to 11,955.60, 17,925.30 and 6,107.40

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Solution

The fourth proportional to 11,955.60, 17,925.30 and 6,107.40 is: 9,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.60 : 17,925.30 = 6,107.40 : x
  2. Step 2: Convert to fraction form
    11,955.60/17,925.30 = 6,107.40/x
  3. Step 3: Cross multiply
    11,955.60x = 17,925.30 × 6,107.40
  4. Step 4: Simplify right side
    11,955.60x = 109,476,977.22
  5. Step 5: Solve for x
    x = 109,476,977.22/11,955.60
  6. Step 6: Final answer
    x = 9,156.96

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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.