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Finding the Fourth Proportional to 12,762.64, 19,146.72 and 3,877.24

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Solution

The fourth proportional to 12,762.64, 19,146.72 and 3,877.24 is: 5,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.64 : 19,146.72 = 3,877.24 : x
  2. Step 2: Convert to fraction form
    12,762.64/19,146.72 = 3,877.24/x
  3. Step 3: Cross multiply
    12,762.64x = 19,146.72 × 3,877.24
  4. Step 4: Simplify right side
    12,762.64x = 74,236,428.65
  5. Step 5: Solve for x
    x = 74,236,428.65/12,762.64
  6. Step 6: Final answer
    x = 5,816.70

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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.