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Finding the Fourth Proportional to 10,710.90, 14,780.64 and 5,930.75

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Solution

The fourth proportional to 10,710.90, 14,780.64 and 5,930.75 is: 8,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.90 : 14,780.64 = 5,930.75 : x
  2. Step 2: Convert to fraction form
    10,710.90/14,780.64 = 5,930.75/x
  3. Step 3: Cross multiply
    10,710.90x = 14,780.64 × 5,930.75
  4. Step 4: Simplify right side
    10,710.90x = 87,660,206.78
  5. Step 5: Solve for x
    x = 87,660,206.78/10,710.90
  6. Step 6: Final answer
    x = 8,184.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.