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Finding the Fourth Proportional to 10,348, 14,280.42 and 5,632.36

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Solution

The fourth proportional to 10,348, 14,280.42 and 5,632.36 is: 7,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348 : 14,280.42 = 5,632.36 : x
  2. Step 2: Convert to fraction form
    10,348/14,280.42 = 5,632.36/x
  3. Step 3: Cross multiply
    10,348x = 14,280.42 × 5,632.36
  4. Step 4: Simplify right side
    10,348x = 80,432,466.39
  5. Step 5: Solve for x
    x = 80,432,466.39/10,348
  6. Step 6: Final answer
    x = 7,772.75

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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.