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Finding the Fourth Proportional to 10,830.54, 16,223.17 and 8,710.71

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Solution

The fourth proportional to 10,830.54, 16,223.17 and 8,710.71 is: 13,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.54 : 16,223.17 = 8,710.71 : x
  2. Step 2: Convert to fraction form
    10,830.54/16,223.17 = 8,710.71/x
  3. Step 3: Cross multiply
    10,830.54x = 16,223.17 × 8,710.71
  4. Step 4: Simplify right side
    10,830.54x = 141,315,308.50
  5. Step 5: Solve for x
    x = 141,315,308.50/10,830.54
  6. Step 6: Final answer
    x = 13,047.86

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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.