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Finding the Fourth Proportional to 10,296.60, 15,423.30 and 5,674.20

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Solution

The fourth proportional to 10,296.60, 15,423.30 and 5,674.20 is: 8,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.60 : 15,423.30 = 5,674.20 : x
  2. Step 2: Convert to fraction form
    10,296.60/15,423.30 = 5,674.20/x
  3. Step 3: Cross multiply
    10,296.60x = 15,423.30 × 5,674.20
  4. Step 4: Simplify right side
    10,296.60x = 87,514,888.86
  5. Step 5: Solve for x
    x = 87,514,888.86/10,296.60
  6. Step 6: Final answer
    x = 8,499.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.