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Finding the Fourth Proportional to 10,309.90, 15,463.14 and 2,912.67

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Solution

The fourth proportional to 10,309.90, 15,463.14 and 2,912.67 is: 4,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.90 : 15,463.14 = 2,912.67 : x
  2. Step 2: Convert to fraction form
    10,309.90/15,463.14 = 2,912.67/x
  3. Step 3: Cross multiply
    10,309.90x = 15,463.14 × 2,912.67
  4. Step 4: Simplify right side
    10,309.90x = 45,039,009.42
  5. Step 5: Solve for x
    x = 45,039,009.42/10,309.90
  6. Step 6: Final answer
    x = 4,368.52

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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.