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Finding the Fourth Proportional to 10,065.69, 15,102.80 and 5,384.47

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Solution

The fourth proportional to 10,065.69, 15,102.80 and 5,384.47 is: 8,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.69 : 15,102.80 = 5,384.47 : x
  2. Step 2: Convert to fraction form
    10,065.69/15,102.80 = 5,384.47/x
  3. Step 3: Cross multiply
    10,065.69x = 15,102.80 × 5,384.47
  4. Step 4: Simplify right side
    10,065.69x = 81,320,546.59
  5. Step 5: Solve for x
    x = 81,320,546.59/10,065.69
  6. Step 6: Final answer
    x = 8,078.99

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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.