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Finding the Fourth Proportional to 11,885.04, 17,815.86 and 5,634

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Solution

The fourth proportional to 11,885.04, 17,815.86 and 5,634 is: 8,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.04 : 17,815.86 = 5,634 : x
  2. Step 2: Convert to fraction form
    11,885.04/17,815.86 = 5,634/x
  3. Step 3: Cross multiply
    11,885.04x = 17,815.86 × 5,634
  4. Step 4: Simplify right side
    11,885.04x = 100,374,555.24
  5. Step 5: Solve for x
    x = 100,374,555.24/11,885.04
  6. Step 6: Final answer
    x = 8,445.45

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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.