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Finding the Fourth Proportional to 12,762.62, 19,135.62 and 4,442

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Solution

The fourth proportional to 12,762.62, 19,135.62 and 4,442 is: 6,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.62 : 19,135.62 = 4,442 : x
  2. Step 2: Convert to fraction form
    12,762.62/19,135.62 = 4,442/x
  3. Step 3: Cross multiply
    12,762.62x = 19,135.62 × 4,442
  4. Step 4: Simplify right side
    12,762.62x = 85,000,424.04
  5. Step 5: Solve for x
    x = 85,000,424.04/12,762.62
  6. Step 6: Final answer
    x = 6,660.11

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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.