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Finding the Fourth Proportional to 11,954.34, 17,925.42 and 6,335.10

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Solution

The fourth proportional to 11,954.34, 17,925.42 and 6,335.10 is: 9,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.34 : 17,925.42 = 6,335.10 : x
  2. Step 2: Convert to fraction form
    11,954.34/17,925.42 = 6,335.10/x
  3. Step 3: Cross multiply
    11,954.34x = 17,925.42 × 6,335.10
  4. Step 4: Simplify right side
    11,954.34x = 113,559,328.24
  5. Step 5: Solve for x
    x = 113,559,328.24/11,954.34
  6. Step 6: Final answer
    x = 9,499.42

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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.