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Finding the Fourth Proportional to 11,877.32, 17,820.30 and 5,639.24

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Solution

The fourth proportional to 11,877.32, 17,820.30 and 5,639.24 is: 8,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.32 : 17,820.30 = 5,639.24 : x
  2. Step 2: Convert to fraction form
    11,877.32/17,820.30 = 5,639.24/x
  3. Step 3: Cross multiply
    11,877.32x = 17,820.30 × 5,639.24
  4. Step 4: Simplify right side
    11,877.32x = 100,492,948.57
  5. Step 5: Solve for x
    x = 100,492,948.57/11,877.32
  6. Step 6: Final answer
    x = 8,460.91

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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.