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Finding the Fourth Proportional to 12,437.12, 18,662.16 and 5,510

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Solution

The fourth proportional to 12,437.12, 18,662.16 and 5,510 is: 8,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.12 : 18,662.16 = 5,510 : x
  2. Step 2: Convert to fraction form
    12,437.12/18,662.16 = 5,510/x
  3. Step 3: Cross multiply
    12,437.12x = 18,662.16 × 5,510
  4. Step 4: Simplify right side
    12,437.12x = 102,828,501.60
  5. Step 5: Solve for x
    x = 102,828,501.60/12,437.12
  6. Step 6: Final answer
    x = 8,267.87

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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.