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Finding the Fourth Proportional to 8,541.46, 12,814.73 and 4,384.41

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Solution

The fourth proportional to 8,541.46, 12,814.73 and 4,384.41 is: 6,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.46 : 12,814.73 = 4,384.41 : x
  2. Step 2: Convert to fraction form
    8,541.46/12,814.73 = 4,384.41/x
  3. Step 3: Cross multiply
    8,541.46x = 12,814.73 × 4,384.41
  4. Step 4: Simplify right side
    8,541.46x = 56,185,030.36
  5. Step 5: Solve for x
    x = 56,185,030.36/8,541.46
  6. Step 6: Final answer
    x = 6,577.92

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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.