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Finding the Fourth Proportional to 10,523.66, 15,782.76 and 3,126.38

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Solution

The fourth proportional to 10,523.66, 15,782.76 and 3,126.38 is: 4,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.66 : 15,782.76 = 3,126.38 : x
  2. Step 2: Convert to fraction form
    10,523.66/15,782.76 = 3,126.38/x
  3. Step 3: Cross multiply
    10,523.66x = 15,782.76 × 3,126.38
  4. Step 4: Simplify right side
    10,523.66x = 49,342,905.21
  5. Step 5: Solve for x
    x = 49,342,905.21/10,523.66
  6. Step 6: Final answer
    x = 4,688.76

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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.