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Finding the Fourth Proportional to 10,348.50, 14,281.00 and 5,632.82

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Solution

The fourth proportional to 10,348.50, 14,281.00 and 5,632.82 is: 7,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.50 : 14,281.00 = 5,632.82 : x
  2. Step 2: Convert to fraction form
    10,348.50/14,281.00 = 5,632.82/x
  3. Step 3: Cross multiply
    10,348.50x = 14,281.00 × 5,632.82
  4. Step 4: Simplify right side
    10,348.50x = 80,442,216.93
  5. Step 5: Solve for x
    x = 80,442,216.93/10,348.50
  6. Step 6: Final answer
    x = 7,773.32

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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.