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Finding the Fourth Proportional to 10,704.81, 14,772.53 and 5,989.13

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Solution

The fourth proportional to 10,704.81, 14,772.53 and 5,989.13 is: 8,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.81 : 14,772.53 = 5,989.13 : x
  2. Step 2: Convert to fraction form
    10,704.81/14,772.53 = 5,989.13/x
  3. Step 3: Cross multiply
    10,704.81x = 14,772.53 × 5,989.13
  4. Step 4: Simplify right side
    10,704.81x = 88,474,543.71
  5. Step 5: Solve for x
    x = 88,474,543.71/10,704.81
  6. Step 6: Final answer
    x = 8,264.93

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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.