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Finding the Fourth Proportional to 10,488.57, 15,730.83 and 3,091.25

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Solution

The fourth proportional to 10,488.57, 15,730.83 and 3,091.25 is: 4,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.57 : 15,730.83 = 3,091.25 : x
  2. Step 2: Convert to fraction form
    10,488.57/15,730.83 = 3,091.25/x
  3. Step 3: Cross multiply
    10,488.57x = 15,730.83 × 3,091.25
  4. Step 4: Simplify right side
    10,488.57x = 48,627,849.58
  5. Step 5: Solve for x
    x = 48,627,849.58/10,488.57
  6. Step 6: Final answer
    x = 4,636.27

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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.