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Finding the Fourth Proportional to 8,415.07, 12,623.82 and 2,570.92

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Solution

The fourth proportional to 8,415.07, 12,623.82 and 2,570.92 is: 3,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.07 : 12,623.82 = 2,570.92 : x
  2. Step 2: Convert to fraction form
    8,415.07/12,623.82 = 2,570.92/x
  3. Step 3: Cross multiply
    8,415.07x = 12,623.82 × 2,570.92
  4. Step 4: Simplify right side
    8,415.07x = 32,454,831.31
  5. Step 5: Solve for x
    x = 32,454,831.31/8,415.07
  6. Step 6: Final answer
    x = 3,856.75

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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.