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Finding the Fourth Proportional to 7,846.50, 10,829.13 and 4,534.50

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Solution

The fourth proportional to 7,846.50, 10,829.13 and 4,534.50 is: 6,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 10,829.13 = 4,534.50 : x
  2. Step 2: Convert to fraction form
    7,846.50/10,829.13 = 4,534.50/x
  3. Step 3: Cross multiply
    7,846.50x = 10,829.13 × 4,534.50
  4. Step 4: Simplify right side
    7,846.50x = 49,104,689.99
  5. Step 5: Solve for x
    x = 49,104,689.99/7,846.50
  6. Step 6: Final answer
    x = 6,258.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.