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Finding the Fourth Proportional to 10,206.54, 15,309.99 and 6,718.77

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Solution

The fourth proportional to 10,206.54, 15,309.99 and 6,718.77 is: 10,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.54 : 15,309.99 = 6,718.77 : x
  2. Step 2: Convert to fraction form
    10,206.54/15,309.99 = 6,718.77/x
  3. Step 3: Cross multiply
    10,206.54x = 15,309.99 × 6,718.77
  4. Step 4: Simplify right side
    10,206.54x = 102,864,301.51
  5. Step 5: Solve for x
    x = 102,864,301.51/10,206.54
  6. Step 6: Final answer
    x = 10,078.27

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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.