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Finding the Fourth Proportional to 10,510.74, 15,772.22 and 3,941.50

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Solution

The fourth proportional to 10,510.74, 15,772.22 and 3,941.50 is: 5,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.74 : 15,772.22 = 3,941.50 : x
  2. Step 2: Convert to fraction form
    10,510.74/15,772.22 = 3,941.50/x
  3. Step 3: Cross multiply
    10,510.74x = 15,772.22 × 3,941.50
  4. Step 4: Simplify right side
    10,510.74x = 62,166,205.13
  5. Step 5: Solve for x
    x = 62,166,205.13/10,510.74
  6. Step 6: Final answer
    x = 5,914.54

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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.