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Finding the Fourth Proportional to 10,539.99, 15,809.45 and 3,144.51

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Solution

The fourth proportional to 10,539.99, 15,809.45 and 3,144.51 is: 4,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.99 : 15,809.45 = 3,144.51 : x
  2. Step 2: Convert to fraction form
    10,539.99/15,809.45 = 3,144.51/x
  3. Step 3: Cross multiply
    10,539.99x = 15,809.45 × 3,144.51
  4. Step 4: Simplify right side
    10,539.99x = 49,712,957.90
  5. Step 5: Solve for x
    x = 49,712,957.90/10,539.99
  6. Step 6: Final answer
    x = 4,716.60

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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.