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Finding the Fourth Proportional to 10,730.59, 16,098.20 and 4,405.48

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Solution

The fourth proportional to 10,730.59, 16,098.20 and 4,405.48 is: 6,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.59 : 16,098.20 = 4,405.48 : x
  2. Step 2: Convert to fraction form
    10,730.59/16,098.20 = 4,405.48/x
  3. Step 3: Cross multiply
    10,730.59x = 16,098.20 × 4,405.48
  4. Step 4: Simplify right side
    10,730.59x = 70,920,195.62
  5. Step 5: Solve for x
    x = 70,920,195.62/10,730.59
  6. Step 6: Final answer
    x = 6,609.16

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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.