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Finding the Fourth Proportional to 12,411.12, 18,592.38 and 7,206.06

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Solution

The fourth proportional to 12,411.12, 18,592.38 and 7,206.06 is: 10,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.12 : 18,592.38 = 7,206.06 : x
  2. Step 2: Convert to fraction form
    12,411.12/18,592.38 = 7,206.06/x
  3. Step 3: Cross multiply
    12,411.12x = 18,592.38 × 7,206.06
  4. Step 4: Simplify right side
    12,411.12x = 133,977,805.82
  5. Step 5: Solve for x
    x = 133,977,805.82/12,411.12
  6. Step 6: Final answer
    x = 10,794.98

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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.