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Finding the Fourth Proportional to 11,886.42, 17,833.68 and 4,492.98

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Solution

The fourth proportional to 11,886.42, 17,833.68 and 4,492.98 is: 6,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.42 : 17,833.68 = 4,492.98 : x
  2. Step 2: Convert to fraction form
    11,886.42/17,833.68 = 4,492.98/x
  3. Step 3: Cross multiply
    11,886.42x = 17,833.68 × 4,492.98
  4. Step 4: Simplify right side
    11,886.42x = 80,126,367.57
  5. Step 5: Solve for x
    x = 80,126,367.57/11,886.42
  6. Step 6: Final answer
    x = 6,741.00

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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.