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Finding the Fourth Proportional to 10,737.69, 16,112.30 and 4,580.25

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Solution

The fourth proportional to 10,737.69, 16,112.30 and 4,580.25 is: 6,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.69 : 16,112.30 = 4,580.25 : x
  2. Step 2: Convert to fraction form
    10,737.69/16,112.30 = 4,580.25/x
  3. Step 3: Cross multiply
    10,737.69x = 16,112.30 × 4,580.25
  4. Step 4: Simplify right side
    10,737.69x = 73,798,339.17
  5. Step 5: Solve for x
    x = 73,798,339.17/10,737.69
  6. Step 6: Final answer
    x = 6,872.83

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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.