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Finding the Fourth Proportional to 11,059.12, 16,587.06 and 4,132

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Solution

The fourth proportional to 11,059.12, 16,587.06 and 4,132 is: 6,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.12 : 16,587.06 = 4,132 : x
  2. Step 2: Convert to fraction form
    11,059.12/16,587.06 = 4,132/x
  3. Step 3: Cross multiply
    11,059.12x = 16,587.06 × 4,132
  4. Step 4: Simplify right side
    11,059.12x = 68,537,731.92
  5. Step 5: Solve for x
    x = 68,537,731.92/11,059.12
  6. Step 6: Final answer
    x = 6,197.39

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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.