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Finding the Fourth Proportional to 10,296.27, 15,446.70 and 4,056.30

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Solution

The fourth proportional to 10,296.27, 15,446.70 and 4,056.30 is: 6,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.27 : 15,446.70 = 4,056.30 : x
  2. Step 2: Convert to fraction form
    10,296.27/15,446.70 = 4,056.30/x
  3. Step 3: Cross multiply
    10,296.27x = 15,446.70 × 4,056.30
  4. Step 4: Simplify right side
    10,296.27x = 62,656,449.21
  5. Step 5: Solve for x
    x = 62,656,449.21/10,296.27
  6. Step 6: Final answer
    x = 6,085.35

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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.