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Finding the Fourth Proportional to 10,730.52, 16,090.52 and 4,488.68

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Solution

The fourth proportional to 10,730.52, 16,090.52 and 4,488.68 is: 6,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.52 : 16,090.52 = 4,488.68 : x
  2. Step 2: Convert to fraction form
    10,730.52/16,090.52 = 4,488.68/x
  3. Step 3: Cross multiply
    10,730.52x = 16,090.52 × 4,488.68
  4. Step 4: Simplify right side
    10,730.52x = 72,225,195.31
  5. Step 5: Solve for x
    x = 72,225,195.31/10,730.52
  6. Step 6: Final answer
    x = 6,730.82

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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.