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Finding the Fourth Proportional to 10,446.34, 15,659.52 and 3,870.76

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Solution

The fourth proportional to 10,446.34, 15,659.52 and 3,870.76 is: 5,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.34 : 15,659.52 = 3,870.76 : x
  2. Step 2: Convert to fraction form
    10,446.34/15,659.52 = 3,870.76/x
  3. Step 3: Cross multiply
    10,446.34x = 15,659.52 × 3,870.76
  4. Step 4: Simplify right side
    10,446.34x = 60,614,243.64
  5. Step 5: Solve for x
    x = 60,614,243.64/10,446.34
  6. Step 6: Final answer
    x = 5,802.44

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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.