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Finding the Fourth Proportional to 10,646.34, 14,691.78 and 5,930.70

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Solution

The fourth proportional to 10,646.34, 14,691.78 and 5,930.70 is: 8,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.34 : 14,691.78 = 5,930.70 : x
  2. Step 2: Convert to fraction form
    10,646.34/14,691.78 = 5,930.70/x
  3. Step 3: Cross multiply
    10,646.34x = 14,691.78 × 5,930.70
  4. Step 4: Simplify right side
    10,646.34x = 87,132,539.65
  5. Step 5: Solve for x
    x = 87,132,539.65/10,646.34
  6. Step 6: Final answer
    x = 8,184.27

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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.