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Finding the Fourth Proportional to 10,584.37, 15,880.37 and 4,010.50

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Solution

The fourth proportional to 10,584.37, 15,880.37 and 4,010.50 is: 6,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.37 : 15,880.37 = 4,010.50 : x
  2. Step 2: Convert to fraction form
    10,584.37/15,880.37 = 4,010.50/x
  3. Step 3: Cross multiply
    10,584.37x = 15,880.37 × 4,010.50
  4. Step 4: Simplify right side
    10,584.37x = 63,688,223.89
  5. Step 5: Solve for x
    x = 63,688,223.89/10,584.37
  6. Step 6: Final answer
    x = 6,017.20

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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.