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Finding the Fourth Proportional to 8,263.06, 12,400.71 and 4,568.47

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Solution

The fourth proportional to 8,263.06, 12,400.71 and 4,568.47 is: 6,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.06 : 12,400.71 = 4,568.47 : x
  2. Step 2: Convert to fraction form
    8,263.06/12,400.71 = 4,568.47/x
  3. Step 3: Cross multiply
    8,263.06x = 12,400.71 × 4,568.47
  4. Step 4: Simplify right side
    8,263.06x = 56,652,271.61
  5. Step 5: Solve for x
    x = 56,652,271.61/8,263.06
  6. Step 6: Final answer
    x = 6,856.09

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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.