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Finding the Fourth Proportional to 8,529.24, 12,785.22 and 4,143

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Solution

The fourth proportional to 8,529.24, 12,785.22 and 4,143 is: 6,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.24 : 12,785.22 = 4,143 : x
  2. Step 2: Convert to fraction form
    8,529.24/12,785.22 = 4,143/x
  3. Step 3: Cross multiply
    8,529.24x = 12,785.22 × 4,143
  4. Step 4: Simplify right side
    8,529.24x = 52,969,166.46
  5. Step 5: Solve for x
    x = 52,969,166.46/8,529.24
  6. Step 6: Final answer
    x = 6,210.30

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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.