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Finding the Fourth Proportional to 10,466, 14,442.94 and 5,750.20

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Solution

The fourth proportional to 10,466, 14,442.94 and 5,750.20 is: 7,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 14,442.94 = 5,750.20 : x
  2. Step 2: Convert to fraction form
    10,466/14,442.94 = 5,750.20/x
  3. Step 3: Cross multiply
    10,466x = 14,442.94 × 5,750.20
  4. Step 4: Simplify right side
    10,466x = 83,049,793.59
  5. Step 5: Solve for x
    x = 83,049,793.59/10,466
  6. Step 6: Final answer
    x = 7,935.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.