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Finding the Fourth Proportional to 12,799.53, 19,199.25 and 5,782.01

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Solution

The fourth proportional to 12,799.53, 19,199.25 and 5,782.01 is: 8,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.53 : 19,199.25 = 5,782.01 : x
  2. Step 2: Convert to fraction form
    12,799.53/19,199.25 = 5,782.01/x
  3. Step 3: Cross multiply
    12,799.53x = 19,199.25 × 5,782.01
  4. Step 4: Simplify right side
    12,799.53x = 111,010,159.50
  5. Step 5: Solve for x
    x = 111,010,159.50/12,799.53
  6. Step 6: Final answer
    x = 8,672.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.