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Finding the Fourth Proportional to 10,823.68, 14,937 and 6,629.56

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Solution

The fourth proportional to 10,823.68, 14,937 and 6,629.56 is: 9,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.68 : 14,937 = 6,629.56 : x
  2. Step 2: Convert to fraction form
    10,823.68/14,937 = 6,629.56/x
  3. Step 3: Cross multiply
    10,823.68x = 14,937 × 6,629.56
  4. Step 4: Simplify right side
    10,823.68x = 99,025,737.72
  5. Step 5: Solve for x
    x = 99,025,737.72/10,823.68
  6. Step 6: Final answer
    x = 9,148.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.