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Finding the Fourth Proportional to 10,032.84, 15,049.80 and 4,189.68

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Solution

The fourth proportional to 10,032.84, 15,049.80 and 4,189.68 is: 6,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.84 : 15,049.80 = 4,189.68 : x
  2. Step 2: Convert to fraction form
    10,032.84/15,049.80 = 4,189.68/x
  3. Step 3: Cross multiply
    10,032.84x = 15,049.80 × 4,189.68
  4. Step 4: Simplify right side
    10,032.84x = 63,053,846.06
  5. Step 5: Solve for x
    x = 63,053,846.06/10,032.84
  6. Step 6: Final answer
    x = 6,284.75

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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.