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Finding the Fourth Proportional to 10,486.76, 15,730.24 and 3,091.36

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Solution

The fourth proportional to 10,486.76, 15,730.24 and 3,091.36 is: 4,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.76 : 15,730.24 = 3,091.36 : x
  2. Step 2: Convert to fraction form
    10,486.76/15,730.24 = 3,091.36/x
  3. Step 3: Cross multiply
    10,486.76x = 15,730.24 × 3,091.36
  4. Step 4: Simplify right side
    10,486.76x = 48,627,834.73
  5. Step 5: Solve for x
    x = 48,627,834.73/10,486.76
  6. Step 6: Final answer
    x = 4,637.07

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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.