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Finding the Fourth Proportional to 10,772.47, 16,158.71 and 3,377.50

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Solution

The fourth proportional to 10,772.47, 16,158.71 and 3,377.50 is: 5,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.47 : 16,158.71 = 3,377.50 : x
  2. Step 2: Convert to fraction form
    10,772.47/16,158.71 = 3,377.50/x
  3. Step 3: Cross multiply
    10,772.47x = 16,158.71 × 3,377.50
  4. Step 4: Simplify right side
    10,772.47x = 54,576,011.07
  5. Step 5: Solve for x
    x = 54,576,011.07/10,772.47
  6. Step 6: Final answer
    x = 5,066.25

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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.