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Finding the Fourth Proportional to 10,710.28, 14,779.95 and 5,929.95

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Solution

The fourth proportional to 10,710.28, 14,779.95 and 5,929.95 is: 8,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.28 : 14,779.95 = 5,929.95 : x
  2. Step 2: Convert to fraction form
    10,710.28/14,779.95 = 5,929.95/x
  3. Step 3: Cross multiply
    10,710.28x = 14,779.95 × 5,929.95
  4. Step 4: Simplify right side
    10,710.28x = 87,644,364.50
  5. Step 5: Solve for x
    x = 87,644,364.50/10,710.28
  6. Step 6: Final answer
    x = 8,183.20

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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.