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Finding the Fourth Proportional to 8,235.71, 12,355.53 and 2,689.07

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Solution

The fourth proportional to 8,235.71, 12,355.53 and 2,689.07 is: 4,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.71 : 12,355.53 = 2,689.07 : x
  2. Step 2: Convert to fraction form
    8,235.71/12,355.53 = 2,689.07/x
  3. Step 3: Cross multiply
    8,235.71x = 12,355.53 × 2,689.07
  4. Step 4: Simplify right side
    8,235.71x = 33,224,823.28
  5. Step 5: Solve for x
    x = 33,224,823.28/8,235.71
  6. Step 6: Final answer
    x = 4,034.24

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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.