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Finding the Fourth Proportional to 10,772.95, 16,158.52 and 4,532.71

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Solution

The fourth proportional to 10,772.95, 16,158.52 and 4,532.71 is: 6,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.95 : 16,158.52 = 4,532.71 : x
  2. Step 2: Convert to fraction form
    10,772.95/16,158.52 = 4,532.71/x
  3. Step 3: Cross multiply
    10,772.95x = 16,158.52 × 4,532.71
  4. Step 4: Simplify right side
    10,772.95x = 73,241,885.19
  5. Step 5: Solve for x
    x = 73,241,885.19/10,772.95
  6. Step 6: Final answer
    x = 6,798.68

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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.