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Finding the Fourth Proportional to 12,857.52, 19,288 and 4,535.60

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Solution

The fourth proportional to 12,857.52, 19,288 and 4,535.60 is: 6,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.52 : 19,288 = 4,535.60 : x
  2. Step 2: Convert to fraction form
    12,857.52/19,288 = 4,535.60/x
  3. Step 3: Cross multiply
    12,857.52x = 19,288 × 4,535.60
  4. Step 4: Simplify right side
    12,857.52x = 87,482,652.80
  5. Step 5: Solve for x
    x = 87,482,652.80/12,857.52
  6. Step 6: Final answer
    x = 6,804.01

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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.