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Finding the Fourth Proportional to 11,020.83, 15,210.14 and 6,829.71

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Solution

The fourth proportional to 11,020.83, 15,210.14 and 6,829.71 is: 9,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.83 : 15,210.14 = 6,829.71 : x
  2. Step 2: Convert to fraction form
    11,020.83/15,210.14 = 6,829.71/x
  3. Step 3: Cross multiply
    11,020.83x = 15,210.14 × 6,829.71
  4. Step 4: Simplify right side
    11,020.83x = 103,880,811.11
  5. Step 5: Solve for x
    x = 103,880,811.11/11,020.83
  6. Step 6: Final answer
    x = 9,425.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.