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Finding the Fourth Proportional to 10,737.94, 16,112.67 and 4,580.50

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Solution

The fourth proportional to 10,737.94, 16,112.67 and 4,580.50 is: 6,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.94 : 16,112.67 = 4,580.50 : x
  2. Step 2: Convert to fraction form
    10,737.94/16,112.67 = 4,580.50/x
  3. Step 3: Cross multiply
    10,737.94x = 16,112.67 × 4,580.50
  4. Step 4: Simplify right side
    10,737.94x = 73,804,084.94
  5. Step 5: Solve for x
    x = 73,804,084.94/10,737.94
  6. Step 6: Final answer
    x = 6,873.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.