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Finding the Fourth Proportional to 10,358.63, 14,296.76 and 6,109.43

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Solution

The fourth proportional to 10,358.63, 14,296.76 and 6,109.43 is: 8,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.63 : 14,296.76 = 6,109.43 : x
  2. Step 2: Convert to fraction form
    10,358.63/14,296.76 = 6,109.43/x
  3. Step 3: Cross multiply
    10,358.63x = 14,296.76 × 6,109.43
  4. Step 4: Simplify right side
    10,358.63x = 87,344,952.42
  5. Step 5: Solve for x
    x = 87,344,952.42/10,358.63
  6. Step 6: Final answer
    x = 8,432.10

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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.