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Finding the Fourth Proportional to 10,348.62, 14,281.06 and 5,632.90

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Solution

The fourth proportional to 10,348.62, 14,281.06 and 5,632.90 is: 7,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.62 : 14,281.06 = 5,632.90 : x
  2. Step 2: Convert to fraction form
    10,348.62/14,281.06 = 5,632.90/x
  3. Step 3: Cross multiply
    10,348.62x = 14,281.06 × 5,632.90
  4. Step 4: Simplify right side
    10,348.62x = 80,443,782.87
  5. Step 5: Solve for x
    x = 80,443,782.87/10,348.62
  6. Step 6: Final answer
    x = 7,773.38

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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.